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Periods for irregular singular connections on surfaces

URN to cite this document:
urn:nbn:de:bvb:355-epub-5842
Hien, Marco
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

Given an integrable connection on a smooth quasi-projective algebraic surface U over a subfield k of the complex numbers, we define rapid decay homology groups with respect to the associated analytic connection which pair with the algebraic de Rham cohomology in terms of period integrals. These homology groups generalize the analogous groups in the same situation over curves defined by S. Bloch ...

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