Quadratic relations between periods of connections
Algebraic Geometry
2023-06-02 v4
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. V3: Revised version, various proofs simplified in Section 3, exposition improved.
Keywords
Cite
@article{arxiv.2005.11525,
title = {Quadratic relations between periods of connections},
author = {Javier Fresán and Claude Sabbah and Jeng-Daw Yu},
journal= {arXiv preprint arXiv:2005.11525},
year = {2023}
}
Comments
46 pages, 2 figures. V2: A reference updated. V3: 47 pages, 1 figure. V4: final published version