绝对未分枝基上具有超特殊约化曲线上扭转点的分枝

IF 0.4 4区 数学 Q4 MATHEMATICS
Yuichiro Hoshi
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引用次数: 0

摘要

-设p为素数,W是一个具有代数闭残域的绝对未分的p-基完全离散赋值环,X是W的属大于1的分数域上的曲线。本文研究了曲线X上的扭转点的分支,得到了在p大于3的情况下,X上不存在分支的扭转点,X的雅可比变差J对W有很好的约简,以及J的好模型的特殊纤维是超特殊的。这个结论推广了科尔曼证明的一个定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base
— Let p be a prime number, W an absolutely unramified p-adically complete discrete valuation ring with algebraically closed residue field, and X a curve over the field of fractions of W of genus greater than one. In the present paper, we study the ramification of torsion points on the curve X. A consequence of the main result of the present paper is no existence of ramified torsion point on X in the case where p is greater than three, the Jacobian variety J of X has good reduction over W , and the special fiber of the good model of J is superspecial. This consequence generalizes a theorem proved by Coleman.
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来源期刊
CiteScore
0.80
自引率
0.00%
发文量
22
审稿时长
>12 weeks
期刊介绍: Information not localized
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