Abstract:We show that up to isomorphism there are exactly twenty pairs $(C,E)$, where $C$ is a genus-$2$ curve over ${\mathbf C}$, where $E$ is an elliptic curve over ${\mathbf C}$, and where for every integer $n>1$ there is a map of degree $n$ from $C$ to $E$. We also show that for every genus-$2$ curve $C$, there is an integer $n$ with $1 < n \le 59$ such that there is no minimal degree-$n$ map from $C$ to an elliptic curve.
From: Everett W. Howe [view email]
[v1]
Tue, 27 Jan 2026 00:12:29 UTC (29 KB)
[v2]
Wed, 11 Feb 2026 18:33:09 UTC (32 KB)
[v3]
Sun, 31 May 2026 19:29:00 UTC (37 KB)
[v4]
Tue, 9 Jun 2026 23:36:11 UTC (37 KB)
[v5]
Thu, 27 Aug 2026 05:49:17 UTC (38 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。