Induced and Complete Multinets View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2016

AUTHORS

Jeremiah Bartz

ABSTRACT

Multinets are certain configurations of lines and points with multiplicities in the complex projective plane \(\mathbb{P}^{2}\). They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an integral role in our findings. The main result is the classification of complete 3-nets. More... »

PAGES

213-231

References to SciGraph publications

  • 2000-05. Cohomology of the Orlik–Solomon Algebras and Local Systems in COMPOSITIO MATHEMATICA
  • 2015-02. k-nets embedded in a projective plane over a field in COMBINATORICA
  • 1992. Arrangements of Hyperplanes in NONE
  • 2014-06. 3-Nets realizing a group in a projective plane in JOURNAL OF ALGEBRAIC COMBINATORICS
  • Book

    TITLE

    Configuration Spaces

    ISBN

    978-3-319-31579-9
    978-3-319-31580-5

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9

    DOI

    http://dx.doi.org/10.1007/978-3-319-31580-5_9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1020974355


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0601", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Biochemistry and Cell Biology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/06", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Biological Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Francis Marion University", 
              "id": "https://www.grid.ac/institutes/grid.256058.c", 
              "name": [
                "Francis Marion University"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bartz", 
            "givenName": "Jeremiah", 
            "id": "sg:person.016304175304.23", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016304175304.23"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1003386853", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-02772-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003386853", 
              "https://doi.org/10.1007/978-3-662-02772-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-02772-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003386853", 
              "https://doi.org/10.1007/978-3-662-02772-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1001826010964", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011773924", 
              "https://doi.org/10.1023/a:1001826010964"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00493-011-3055-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022938259", 
              "https://doi.org/10.1007/s00493-011-3055-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1112/plms/pdt058", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028752404"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1112/s0010437x04000600", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029754995"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10801-013-0474-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053689800", 
              "https://doi.org/10.1007/s10801-013-0474-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10801-013-0474-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053689800", 
              "https://doi.org/10.1007/s10801-013-0474-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-08-09753-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059332125"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1112/s0010437x07002722", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062054644"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.26493/1855-3974.88.e12", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1106306985"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016", 
        "datePublishedReg": "2016-01-01", 
        "description": "Multinets are certain configurations of lines and points with multiplicities in the complex projective plane \\(\\mathbb{P}^{2}\\). They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an integral role in our findings. The main result is the classification of complete 3-nets.", 
        "editor": [
          {
            "familyName": "Callegaro", 
            "givenName": "Filippo", 
            "type": "Person"
          }, 
          {
            "familyName": "Cohen", 
            "givenName": "Frederick", 
            "type": "Person"
          }, 
          {
            "familyName": "De Concini", 
            "givenName": "Corrado", 
            "type": "Person"
          }, 
          {
            "familyName": "Feichtner", 
            "givenName": "Eva Maria", 
            "type": "Person"
          }, 
          {
            "familyName": "Gaiffi", 
            "givenName": "Giovanni", 
            "type": "Person"
          }, 
          {
            "familyName": "Salvetti", 
            "givenName": "Mario", 
            "type": "Person"
          }
        ], 
        "genre": "chapter", 
        "id": "sg:pub.10.1007/978-3-319-31580-5_9", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": {
          "isbn": [
            "978-3-319-31579-9", 
            "978-3-319-31580-5"
          ], 
          "name": "Configuration Spaces", 
          "type": "Book"
        }, 
        "name": "Induced and Complete Multinets", 
        "pagination": "213-231", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/978-3-319-31580-5_9"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "63eef14088c8db19edf0dd559b777380aad310b0c1a994ae545dad7024355c70"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1020974355"
            ]
          }
        ], 
        "publisher": {
          "location": "Cham", 
          "name": "Springer International Publishing", 
          "type": "Organisation"
        }, 
        "sameAs": [
          "https://doi.org/10.1007/978-3-319-31580-5_9", 
          "https://app.dimensions.ai/details/publication/pub.1020974355"
        ], 
        "sdDataset": "chapters", 
        "sdDatePublished": "2019-04-15T23:32", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8695_00000585.jsonl", 
        "type": "Chapter", 
        "url": "http://link.springer.com/10.1007/978-3-319-31580-5_9"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-31580-5_9'


     

    This table displays all metadata directly associated to this object as RDF triples.

    123 TRIPLES      23 PREDICATES      37 URIs      20 LITERALS      8 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/978-3-319-31580-5_9 schema:about anzsrc-for:06
    2 anzsrc-for:0601
    3 schema:author N6c18e7c0d18d4174b707b433a2477af2
    4 schema:citation sg:pub.10.1007/978-3-662-02772-1
    5 sg:pub.10.1007/s00493-011-3055-z
    6 sg:pub.10.1007/s10801-013-0474-5
    7 sg:pub.10.1023/a:1001826010964
    8 https://app.dimensions.ai/details/publication/pub.1003386853
    9 https://doi.org/10.1090/s0002-9939-08-09753-0
    10 https://doi.org/10.1112/plms/pdt058
    11 https://doi.org/10.1112/s0010437x04000600
    12 https://doi.org/10.1112/s0010437x07002722
    13 https://doi.org/10.26493/1855-3974.88.e12
    14 schema:datePublished 2016
    15 schema:datePublishedReg 2016-01-01
    16 schema:description Multinets are certain configurations of lines and points with multiplicities in the complex projective plane \(\mathbb{P}^{2}\). They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an integral role in our findings. The main result is the classification of complete 3-nets.
    17 schema:editor N49753516ec7743ff88e1f9a45b41013f
    18 schema:genre chapter
    19 schema:inLanguage en
    20 schema:isAccessibleForFree true
    21 schema:isPartOf N500bcb5868b743e692b9865b7c4b2002
    22 schema:name Induced and Complete Multinets
    23 schema:pagination 213-231
    24 schema:productId N32e79eaa3e3f4d5ba754156a1d3f70f1
    25 N9050d106559843158020c3fc110f6384
    26 Na294f403313642729afc0fa2620f6ec3
    27 schema:publisher N10839920cdd945d8af83e28eaff0f9ea
    28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020974355
    29 https://doi.org/10.1007/978-3-319-31580-5_9
    30 schema:sdDatePublished 2019-04-15T23:32
    31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    32 schema:sdPublisher N3832948260f347d5ad66eb7daf58b67d
    33 schema:url http://link.springer.com/10.1007/978-3-319-31580-5_9
    34 sgo:license sg:explorer/license/
    35 sgo:sdDataset chapters
    36 rdf:type schema:Chapter
    37 N10839920cdd945d8af83e28eaff0f9ea schema:location Cham
    38 schema:name Springer International Publishing
    39 rdf:type schema:Organisation
    40 N14db3ba8866545fdbd29d7e23582f0ac schema:familyName Feichtner
    41 schema:givenName Eva Maria
    42 rdf:type schema:Person
    43 N1ebd6c3688ca43d3bd3a857d51d827fe rdf:first N3c869e7340644c29897ee3bf0a176afa
    44 rdf:rest N908a947b66f343a093072570ab77e42d
    45 N304f34147e8d40b0930e471d1798447b schema:familyName Gaiffi
    46 schema:givenName Giovanni
    47 rdf:type schema:Person
    48 N32e79eaa3e3f4d5ba754156a1d3f70f1 schema:name doi
    49 schema:value 10.1007/978-3-319-31580-5_9
    50 rdf:type schema:PropertyValue
    51 N3832948260f347d5ad66eb7daf58b67d schema:name Springer Nature - SN SciGraph project
    52 rdf:type schema:Organization
    53 N3c869e7340644c29897ee3bf0a176afa schema:familyName De Concini
    54 schema:givenName Corrado
    55 rdf:type schema:Person
    56 N49753516ec7743ff88e1f9a45b41013f rdf:first Ncc280743ad24426dab94132d7113539e
    57 rdf:rest Nfeb3c6475d3f48b8830dc84758e816b1
    58 N500bcb5868b743e692b9865b7c4b2002 schema:isbn 978-3-319-31579-9
    59 978-3-319-31580-5
    60 schema:name Configuration Spaces
    61 rdf:type schema:Book
    62 N6c18e7c0d18d4174b707b433a2477af2 rdf:first sg:person.016304175304.23
    63 rdf:rest rdf:nil
    64 N854628c76f744fc28283a5db38ae46eb rdf:first N8eea21c5f6e348608a4ed6b97b895588
    65 rdf:rest rdf:nil
    66 N8eea21c5f6e348608a4ed6b97b895588 schema:familyName Salvetti
    67 schema:givenName Mario
    68 rdf:type schema:Person
    69 N9050d106559843158020c3fc110f6384 schema:name dimensions_id
    70 schema:value pub.1020974355
    71 rdf:type schema:PropertyValue
    72 N908a947b66f343a093072570ab77e42d rdf:first N14db3ba8866545fdbd29d7e23582f0ac
    73 rdf:rest N985f8ad054cc4265b51d5b476c79e84b
    74 N985f8ad054cc4265b51d5b476c79e84b rdf:first N304f34147e8d40b0930e471d1798447b
    75 rdf:rest N854628c76f744fc28283a5db38ae46eb
    76 Na294f403313642729afc0fa2620f6ec3 schema:name readcube_id
    77 schema:value 63eef14088c8db19edf0dd559b777380aad310b0c1a994ae545dad7024355c70
    78 rdf:type schema:PropertyValue
    79 Naf222e8f56a94c74bfd3aa2541fc194a schema:familyName Cohen
    80 schema:givenName Frederick
    81 rdf:type schema:Person
    82 Ncc280743ad24426dab94132d7113539e schema:familyName Callegaro
    83 schema:givenName Filippo
    84 rdf:type schema:Person
    85 Nfeb3c6475d3f48b8830dc84758e816b1 rdf:first Naf222e8f56a94c74bfd3aa2541fc194a
    86 rdf:rest N1ebd6c3688ca43d3bd3a857d51d827fe
    87 anzsrc-for:06 schema:inDefinedTermSet anzsrc-for:
    88 schema:name Biological Sciences
    89 rdf:type schema:DefinedTerm
    90 anzsrc-for:0601 schema:inDefinedTermSet anzsrc-for:
    91 schema:name Biochemistry and Cell Biology
    92 rdf:type schema:DefinedTerm
    93 sg:person.016304175304.23 schema:affiliation https://www.grid.ac/institutes/grid.256058.c
    94 schema:familyName Bartz
    95 schema:givenName Jeremiah
    96 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016304175304.23
    97 rdf:type schema:Person
    98 sg:pub.10.1007/978-3-662-02772-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003386853
    99 https://doi.org/10.1007/978-3-662-02772-1
    100 rdf:type schema:CreativeWork
    101 sg:pub.10.1007/s00493-011-3055-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1022938259
    102 https://doi.org/10.1007/s00493-011-3055-z
    103 rdf:type schema:CreativeWork
    104 sg:pub.10.1007/s10801-013-0474-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053689800
    105 https://doi.org/10.1007/s10801-013-0474-5
    106 rdf:type schema:CreativeWork
    107 sg:pub.10.1023/a:1001826010964 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011773924
    108 https://doi.org/10.1023/a:1001826010964
    109 rdf:type schema:CreativeWork
    110 https://app.dimensions.ai/details/publication/pub.1003386853 schema:CreativeWork
    111 https://doi.org/10.1090/s0002-9939-08-09753-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059332125
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.1112/plms/pdt058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028752404
    114 rdf:type schema:CreativeWork
    115 https://doi.org/10.1112/s0010437x04000600 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029754995
    116 rdf:type schema:CreativeWork
    117 https://doi.org/10.1112/s0010437x07002722 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062054644
    118 rdf:type schema:CreativeWork
    119 https://doi.org/10.26493/1855-3974.88.e12 schema:sameAs https://app.dimensions.ai/details/publication/pub.1106306985
    120 rdf:type schema:CreativeWork
    121 https://www.grid.ac/institutes/grid.256058.c schema:alternateName Francis Marion University
    122 schema:name Francis Marion University
    123 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...