no. 6
Deformations of free and linear free divisors
[Déformations de diviseurs libres et linéaires libres]
Torielli, Michele1
1 University of Warwick Department of Mathematics Coventry CV4 7AL (U.K.)
Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2097-2136.

Nous étudions les déformations de diviseurs libres et linéaires libres. Nous introduisons un complexe similaire au complexe de de Rham dont la cohomologie calcule les espaces de déformations. Cette cohomologie s’avère être zéro pour tous les diviseurs réductifs linéaires libres et être constructible pour les diviseurs libres de Koszul et les diviseurs libres quasi-homogènes.

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.

DOI : 10.5802/aif.2824
Classification : 14B07, 13D10, 14F40
Keywords: Free divisor, linear free divisor, non-isolated singularity, deformation theory, logarithmic de Rham cohomology
Mot clés : diviseur libre, diviseur linéaire libre, singularité non isolée, théorie de la déformation, cohomologie de de Rham logarithmique
Torielli, Michele 1

1 University of Warwick Department of Mathematics Coventry CV4 7AL (U.K.) 
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Torielli, Michele. Deformations of free and linear free divisors. Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2097-2136. doi : 10.5802/aif.2824. http://www.numdam.org/articles/10.5802/aif.2824/

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