Morphisms and period matrices

Chamizo, Fernando

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Morphisms and period matrices

Metadatos

Title: Morphisms and period matrices

Author: Chamizo, Fernando

Entity: UAM. Departamento de Matemáticas

UAM Author: Chamizo Lorente, Fernando

Publisher: Elsevier

Date: 2019-12-01

Citation: Linear Algebra and Its Applications 582 (2019): 103-113

ISSN: 1873-1856 (online); 0024-3795 (print)

DOI: 10.1016/j.laa.2019.07.038

Funded by: The author is partially supported by the MTM2017-83496-P project of the MCINN (Spain) and the \Severo Ochoa Programme for Centres of Excellence in R&D" (SEV-2015- 0554)

Project: Gobierno de España. MTM2017-83496-P; Gobierno de España. SEV-2015- 0554)

Editor's Version: https://doi.org/10.1016/j.laa.2019.07.038

Subjects: Matrix norm; Morphism; Period matrix; Riemann surface; Matemáticas

URI: http://hdl.handle.net/10486/689464

Note: This Accepted Manuscript will be available for reuse under a CC BY-NC-ND licence after 24 months of embargo period

Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Abstract:

Bounding the number of morphisms between compact Riemann surfaces is a long standing problem coming from complex and algebraic geometry. We show that linear algebra techniques allow to improve the known results when we assume a kind of condition number bound for the period matrix.

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