Weierstrass points on the Drinfeld modular curve X0(p)

被引：0
|
作者：
Vincent, Christelle [1 ]
机构：
[1] Stanford Univ, Dept Math, 450 Serra Mall,Bldg 380, Stanford, CA 94305 USA
来源：
RESEARCH IN THE MATHEMATICAL SCIENCES | 2015年 / 2卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1186/s40687-015-0026-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider the Drinfeld modular curve X-0(p) for p a prime ideal of F-q[T]. It was previously known that if j is the j-invariant of a Weierstrass point of X-0(p), then the reduction of j modulo p is a supersingular j-invariant. In this paper, we show the converse: Every supersingular j-invariant is the reduction modulo p of the j-invariant of a Weierstrass point of X-0(p).
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页数：40
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