Gauss-Manin connections for arrangements, III Formal connections

Details Gauss-Manin connections for arrangements, III Formal connections Gauss-Manin connections for arrangements, III Formal connections

2003-07-15

arxiv.org/abs/math/0307210v1

Trans. Amer. Math. Soc. 357 (2005), 3031-3050

Mathematics

Algebraic Geometry

Scientific paper

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.

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