Gauss-Manin Connections for Arrangements
Algebraic Geometry
2007-05-23 v3 Combinatorics
Abstract
We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss-Manin connection for the moduli space of the arrangement in the cohomology of a complex rank one local system. We prove that the eigenvalues of the Gauss-Manin connection are integral linear combinations of the weights which define the local system.
Keywords
Cite
@article{arxiv.math/0105063,
title = {Gauss-Manin Connections for Arrangements},
author = {Daniel C. Cohen and Peter Orlik},
journal= {arXiv preprint arXiv:math/0105063},
year = {2007}
}
Comments
LaTeX, 15 pages. v2: minor changes. v3: 16 pages, to appear in Compositio Math