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Quadratic relations between periods of connections

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal-polytechnique.archives-ouvertes.fr/hal-02863243
Contributor : Claude Sabbah <>
Submitted on : Wednesday, June 10, 2020 - 9:15:47 AM
Last modification on : Saturday, August 1, 2020 - 10:42:02 AM

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  • HAL Id : hal-02863243, version 1
  • ARXIV : 2005.11525

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Javier Fresán, Claude Sabbah, Jeng-Daw Yu. Quadratic relations between periods of connections. 2020. ⟨hal-02863243⟩

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