NDLI: Normal crossing properties of complex hypersurfaces via logarithmic residues

Content Provider	Scilit
Author	Granger, Michel Schulze, Mathias
Copyright Year	2014
Description	Journal: Compositio Mathematica We introduce a dual logarithmic residue map for hypersurface singularities and use it to answer a question of Kyoji Saito. Our result extends a theorem of Lê and Saito by an algebraic characterization of hypersurfaces that are normal crossing in codimension one. For free divisors, we relate the latter condition to other natural conditions involving the Jacobian ideal and the normalization. This leads to an algebraic characterization of normal crossing divisors. As a side result, we describe all free divisors with Gorenstein singular locus.
Ending Page	1622
Starting Page	1607
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x13007860
Journal	Compositio Mathematica
Issue Number	9
Volume Number	150
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2014-06-25
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Particles and Fields Physics
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Normal crossing properties of complex hypersurfaces via logarithmic residues