Ontology type: schema:ScholarlyArticle Open Access: True
2015-02
AUTHORSEdward Bierstone, Franklin Vera Pacheco
ABSTRACTThe subject is partial resolution of singularities. Given an algebraic variety X (not necessarily equidimensional) in characteristic zero (or, more generally, a pair (X, D), where D is a divisor on X), we construct a functorial desingularization of all but stable simple normal crossings (stable-snc) singularities, by smooth blowings-up that preserve such singularities. A variety has stable simple normal crossings at a point if, locally, its irreducible components are smooth and transverse in some smooth embedding variety. We also show that our main assertion is false for more general simple normal crossings singularities. More... »
PAGES233-280
http://scigraph.springernature.com/pub.10.1007/s11856-015-1151-2
DOIhttp://dx.doi.org/10.1007/s11856-015-1151-2
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