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arXiv:math/0307210 [math.AG]AbstractReferencesReviewsResources

Gauss-Manin connections for arrangements, III Formal connections

Daniel C. Cohen, Peter Orlik

Published 2003-07-15Version 1

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.

Journal: Trans. Amer. Math. Soc. 357 (2005), 3031-3050
Categories: math.AG, math.CO
Subjects: 32S22, 14D05, 52C35, 55N25
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