Periods for irregular singular connections on surfaces

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dc.creatorHien, Marco
dc.date2006-09-15
dc.date.accessioned2026-07-07T07:24:52Z
dc.date.available2026-07-07T07:24:52Z
dc.descriptionWe define homology groups for flat irregular singular connections on surfaces and a pairing between these and the de Rham cohomology of the connection, generalizing work of S. Bloch and H. Enault in dimension one. Assuming a conjecture of C. Sabbah (known to be true if the rank of the vector bundle is at most 5), we prove perfectness of the pairing. We comment on certain new phenomena appearing in dimension two.
dc.description34 pages; will appear in Math. Annalen
dc.identifierhttps://arxiv.org/abs/math/0609439
dc.identifierhttp://arxiv.org/abs/math/0609439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116529
dc.subjectAlgebraic Geometry
dc.subject14F40; 32S40
dc.titlePeriods for irregular singular connections on surfaces
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