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 inIsrael journal of mathematics Vol. 257; no. 2; pp. 409 - 431
Main Authors Im, Bo-Hae, Larsen, Michael, Zhan, Sailun
Format Journal Article
LanguageEnglish
Published Jerusalem The Hebrew University Magnes Press 01.11.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Curves
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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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