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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Bibliographische Detailangaben
Veröffentlicht in:	Israel journal of mathematics 2023-11, Vol.257 (2), p.409-431
Hauptverfasser:	Im, Bo-Hae, Larsen, Michael, Zhan, Sailun
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Curves Group Theory and Generalizations Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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