A hyperelliptic curve mapping to specified elliptic curves

If an ordered 13-tuple ( E 1 , …, E 13 ) of elliptic curves over ℂ is sufficiently general, there is no hyperelliptic curve which admits a non-trivial morphism to each of the E i .

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Bibliographic Details
Published in:Israel journal of mathematics 2023-11, Vol.257 (2), p.409-431
Main Authors: Im, Bo-Hae, Larsen, Michael, Zhan, Sailun
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Curves
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Description
Summary:If an ordered 13-tuple ( E 1 , …, E 13 ) of elliptic curves over ℂ is sufficiently general, there is no hyperelliptic curve which admits a non-trivial morphism to each of the E i .
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-023-2546-0