Deformations of free and linear free divisors

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2 Scopus citations

Abstract

We study deformations of free and linear free divisors. We introduce a complex similar to the de Rham complex whose cohomology calculates the deformation spaces. This cohomology turns out to be zero for all reductive linear free divisors and to be constructible for Koszul free divisors and weighted homogeneous free divisors.

Original languageEnglish (US)
Pages (from-to)2097-2136
Number of pages40
JournalAnnales de l'Institut Fourier
Volume63
Issue number6
DOIs
StatePublished - 2013
Externally publishedYes

Keywords

  • Deformation theory
  • Free divisor
  • Linear free divisor
  • Logarithmic de Rham cohomology
  • Non-isolated singularity

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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