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

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

2002-06-25

arxiv.org/abs/math/0206262v1

Mathematics

Algebraic Geometry

To appear in Compositio Mathematica, 20 pages

Scientific paper

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

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