Decomposing Jacobians of curves with extra automorphisms
Decomposing Jacobians of curves with extra automorphisms
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DOI：
10.4064/aa132-3-3
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发表时间：
2008
期刊：
影响因子：
0.7
通讯作者：
J. Paulhus
中科院分区：
文献类型：
--
作者：
J. Paulhus
给定一个固定的格g，我们想知道最大可能的整数t，使得一条椭圆曲线E对某格X的雅可比变换JX的分解中出现t个副本。本文找到了格小于10的t的非平凡下界。对于3到6属，我们证明曲线X使得JX ~ E。
Given a fixed genus g, we would like to know the largest possible integer t such that t copies of one elliptic curve E appear in the decomposition of the Jacobian variety JX for some curve X of genus g. In this paper we find nontrivial lower bounds for t for genus up to 10. For genus 3 through 6 we demonstrate curves X such that JX∼E .