The module $D f^s$ for locally quasi-homogeneous free divisors

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We find explicit free resolutions for the $\scr D$-modules ${\scr D} f^s$ and ${\scr D}[s] f^s/{\scr D}[s] f^{s+1}$, where $f$ is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper
To appear in Compositio Mathematica, 20 pages

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Algebraic Geometry, 14F40 (Primary) 32S20, 32S40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64390

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206262
 http://arxiv.org/abs/math/0206262

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arXiv