Deligne’s congruence and supersingular reduction of Drinfeld modules

被引：0

作者：

Gunther Cornelissen

机构：

[1] Max-Planck-Institut für Mathematik,

[2] Gottfried-Claren-Straße 26,undefined

[3] D-53225 Bonn,undefined

[4] Germany ,undefined

[5] University of Gent,undefined

[6] Department of Pure Mathematics,undefined

[7] Galglaan 2,undefined

[8] B-9000 Gent,undefined

[9] Belgium,undefined

来源：

Archiv der Mathematik | 1999年 / 72卷

关键词：

Exceptional Case; Eisenstein Series; Drinfeld Module; Supersingular Reduction;

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学科分类号：

摘要：

Most rank two Drinfeld modules are known to have infinitely many supersingular primes. But how many supersingular primes of a given degree can a fixed Drinfeld module have? In this paper, a congruence between the Hasse invariant and a certain Eisenstein series is used for obtaining a bound on the number of such supersingular primes. Certain exceptional cases correspond to zeros of certain Eisenstein series with rational j-invariants.

引用

页码：346 / 353

页数：7