Periods for flat algebraic connections

Details Periods for flat algebraic connections Periods for flat algebraic connections

2008-03-24

arxiv.org/abs/0803.3463v1

Mathematics

Algebraic Geometry

Scientific paper

In previous work, we established a duality between the algebraic de Rham cohomology of a flat algebraic connection on a smooth quasi-projective surface over the complex numbers and the rapid decay homology of the dual connection relying on a conjecture by C. Sabbah, which has been proved recently by T. Mochizuki for algebraic connections in any dimension. In the present article, we verify that Mochizuki's results allow to generalize these duality results to arbitrary dimensions also.

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