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Morphisms and period matrices

Author
Chamizo Lorente, Fernandountranslated
Entity
UAM. Departamento de Matemáticas
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
Rights
© 2019 Elsevier Inc.

Licencia de Creative Commons
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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