Local cohomology of logarithmic forms
Algebraic Geometry
2014-09-22 v3 Combinatorics
Abstract
Let Y be a divisor on a smooth algebraic variety X. We investigate the geometry of the Jacobian scheme of Y, homological invariants derived from logarithmic differential forms along Y, and their relationship with the property that Y is a free divisor. We consider arrangements of hyperplanes as a source of examples and counterexamples. In particular, we make a complete calculation of the local cohomology of logarithmic forms of generic hyperplane arrangements.
Cite
@article{arxiv.1103.2459,
title = {Local cohomology of logarithmic forms},
author = {Graham Denham and Hal Schenck and Mathias Schulze and Uli Walther and Max Wakefield},
journal= {arXiv preprint arXiv:1103.2459},
year = {2014}
}
Comments
21 pages, minor corrections and updated bibliography