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 language | English (US) |
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Pages (from-to) | 2097-2136 |
Number of pages | 40 |
Journal | Annales de l'Institut Fourier |
Volume | 63 |
Issue number | 6 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |
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