Gauss-Manin connections for arrangements, II Nonresonant weights
Algebraic Geometry
2007-05-23 v1 Combinatorics
Abstract
We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a nonresonant complex rank one local system. Aomoto and Kita determined this Gauss-Manin connection for arrangements in general position. We use their results and an algorithm constructed in this paper to determine this Gauss-Manin connection for all arrangements.
Cite
@article{arxiv.math/0207114,
title = {Gauss-Manin connections for arrangements, II Nonresonant weights},
author = {Daniel C. Cohen and Peter Orlik},
journal= {arXiv preprint arXiv:math/0207114},
year = {2007}
}