THE EISENSTEIN IDEAL AND JACQUET-LANGLANDS ISOGENY OVER FUNCTION FIELDS

被引：0

作者：

Papikian, Mihran ^{[1
]}

Wei, Fu-Tsun ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Acad Sinica, Inst Math, Taipei 10617, Taiwan

来源：

DOCUMENTA MATHEMATICA | 2015年 / 20卷

关键词：

Drinfeld modular curves; Cuspidal divisor group; Shimura subgroup; Eisenstein ideal; Jacquet-Langlands isogeny; HECKE OPERATORS; DRINFELD; CURVES; TORSION; UNIFORMIZATION; JACOBIANS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p and q be two distinct prime ideals of F-q[T]. We use the Eisenstein ideal of the Hecke algebra of the Drinfeld modular curve X-0(pq) to compare the rational torsion subgroup of the Jacobian J(0)(pq) with its subgroup generated by the cuspidal divisors, and to produce explicit examples of Jacquet-Langlands isogenies. Our results are stronger than what is currently known about the analogues of these problems over Q.

引用

页码：551 / 629

页数：79

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