Supersingular curves on Picard modular surfaces modulo an inert prime

被引：2

作者：

de Shalit, Ehud ^{[1
]}

Goren, Eyal Z. ^{[2
]}

机构：

[1] Hebrew Univ Jerusalem, Jerusalem, Israel

[2] McGill Univ, Montreal, PQ, Canada

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 171卷

关键词：

Picard modular surface; Supersingular locus; Hasse invariant; AUTOMORPHIC-FORMS;

D O I：

10.1016/j.jnt.2016.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the supersingular curves on Picard modular surfaces modulo a prime p which is inert in the underlying quadratic imaginary field. We analyze the automorphic vector bundles in characteristic p, and as an application derive a formula relating the number of irreducible components in the supersingular locus to the second Chern class of the surface. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：391 / 421

页数：31

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