JACOBIANS IN ISOGENY CLASSES OF ABELIAN SURFACES OVER FINITE FIELDS

被引：26

作者：

Howe, Everett W. ^{[1
]}

Nar, Enric ^{[2
]}

Ritzenthaler, Christophe ^{[3
]}

机构：

[1] Ctr Commun Res, San Diego, CA 92121 USA

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain

[3] CNRS, Inst Math Luminy, UMR 6206, F-13288 Marseille, France

来源：

ANNALES DE L INSTITUT FOURIER | 2009年 / 59卷 / 01期

关键词：

Curve; Jacobian; abelian surface; zeta function; Weil polynomial; Weil number; GENUS; 2; SUPERSINGULAR CURVES; RATIONAL-POINTS; NUMBER; CODES; NONEXISTENCE;

D O I：

10.5802/aif.2430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.

引用

页码：239 / 289

页数：51

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