Periods for flat algebraic connections

By M. Hien. 2008

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In previous work (Hien, Math. Ann. 337, 631–669, 2007), 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. In the present article, we generalize this result to arbitrary dimensions unconditionally using recent results of T. Mochizuki.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1bf4c1169101a09dee573a78dcda768d7977d726