A weak Fano threefold arising as a blowup of a curve of genus 5 and degree 8 on P3 View Full Text


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Article Info

DATE

2019-02-06

AUTHORS

Joseph W. Cutrone, Michael A. Limarzi, Nicholas A. Marshburn

ABSTRACT

This article constructs a smooth weak Fano threefold of Picard number two with small anticanonical morphism that arises as a blowup of a smooth curve of genus 5 and degree 8 in P3. While the existence of this weak Fano was known as a numerical possibility in Cutrone and Marshburn (Cent Eur J Math 11(9):1552–1576, 2013) and constructed in Blanc and Lamy (Proc Lond Math Soc 105(5):1047–1075, 2012), this paper removes the dependencies on the results in Jahnke et al. (Cent Eur J Math 9(3):449–488, 2011) needed in the construction of Blanc and Lamy (Proc Lond Math Soc 105(5):1047–1075, 2012) and constructs the link in the style of Arap et al. (Math Scand 120(1):68–86, 2017). More... »

PAGES

1-8

References to SciGraph publications

  • 2004. Positivity in Algebraic Geometry II, Positivity for Vector Bundles, and Multiplier Ideals in NONE
  • 2013-09. Towards the classification of weak Fano threefolds with ρ = 2 in CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • 2005-11. Threefolds with big and nef anticanonical bundles I in MATHEMATISCHE ANNALEN
  • 2011-06. Threefolds with big and nef anticanonical bundles II in CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • 1982. Formules Multisecantes pour les Courbes Gauches Quelconques in ENUMERATIVE GEOMETRY AND CLASSICAL ALGEBRAIC GEOMETRY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s40879-019-00315-w

    DOI

    http://dx.doi.org/10.1007/s40879-019-00315-w

    DIMENSIONS

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