Morphisms and period matrices

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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Bibliographic Details
Published in:Linear algebra and its applications 2019-12, Vol.582, p.103-113
Main Author: Chamizo, Fernando
Format: Article
Language:English
Subjects:
Linear algebra
Matrix norm
Morphism
Period matrix
Riemann surface
Riemann surfaces
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Description
Summary: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.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2019.07.038