Quadratic relations between periods of connections

We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of "goodness". In dimension one, for which goodness is always satisfied, we provide methods to compute the va...

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Bibliographic Details
Published in:arXiv.org 2023-06
Main Authors: Fresán, Javier, Sabbah, Claude, Jeng-Daw, Yu
Format: Article
Language:English
Online Access:Get full text
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Summary:We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of "goodness". In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we give details on the classical results needed for the proofs. V3: Revised version, various proofs simplified in Section 3, exposition improved.
ISSN:2331-8422
DOI:10.48550/arxiv.2005.11525