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Periods for flat algebraic connections

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Abstract

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.

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  1. NWF I—Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Marco Hien

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  1. Marco Hien
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Correspondence to Marco Hien.

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Hien, M. Periods for flat algebraic connections. Invent. math. 178, 1–22 (2009). https://doi.org/10.1007/s00222-009-0185-7

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  • DOI: https://doi.org/10.1007/s00222-009-0185-7

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