非超奇异超椭圆Jacobian簇
代数几何
2016-09-07 v2 数论
摘要
在其先前论文中，作者证明了在特征不等于2时，若不可约多项式f(x)∈K[x]的Galois群为全对称群S_n或交错群A_n，则超椭圆曲线C: y^2=f(x)的Jacobian簇J(C)在基域K的代数闭包K_a上只有平凡自同态。此处n>8为f的次数。本文的目标是将该结果推广到n=7,8或n=5,6且char(K)>3的情形。
引用
@article{arxiv.math/0311137,
title = {Non-supersingular Hyperelliptic jacobians},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0311137},
year = {2016}
}
备注
Minor inaccuracies/typos were corrected. The paper will appear in Bull. Soc. Math. France