Gauss-Manin connections for arrangements, III Formal connections
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 complex rank one local system. We define formal Gauss-Manin connection matrices in the Aomoto complex and prove that, for all arrangements and all local systems, these formal connection matrices specialize to Gauss-Manin connection matrices.
Keywords
Cite
@article{arxiv.math/0307210,
title = {Gauss-Manin connections for arrangements, III Formal connections},
author = {Daniel C. Cohen and Peter Orlik},
journal= {arXiv preprint arXiv:math/0307210},
year = {2007}
}