English

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

Algebraic Geometry 2007-05-23 v1

Abstract

We find explicit free resolutions for the \scrD\scr D-modules \scrDfs{\scr D} f^s and \scrD[s]fs/\scrD[s]fs+1{\scr D}[s] f^s/{\scr D}[s] f^{s+1}, where ff 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

Keywords

Cite

@article{arxiv.math/0206262,
  title  = {The module $D f^s$ for locally quasi-homogeneous free divisors},
  author = {F. J. Calderon-Moreno and L. Narvaez-Macarro},
  journal= {arXiv preprint arXiv:math/0206262},
  year   = {2007}
}

Comments

To appear in Compositio Mathematica, 20 pages