On the number of points on abelian and Jacobian varieties over finite fields

被引：8

作者：

Aubry, Yves ^{[1
,2
]}

Haloui, Safia ^{[3
]}

Lachaud, Gilles ^{[4
]}

机构：

[1] Aix Marseille Univ, Inst Math Luminy, Marseille, France

[2] Univ Sud Toulon & Var, Inst Math Toulon, Toulon, France

[3] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark

[4] Aix Marseille Univ, CNRS, Inst Math Luminy, Marseille, France

来源：

关键词：

abelian varieties over finite fields; Jacobians; curves over finite fields; zeta functions; RATIONAL-POINTS; SURFACES; CURVES;

D O I：

10.4064/aa160-3-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：201 / 241

页数：41

共 30 条

[1] [Anonymous], PREPRINT
[2] [Anonymous], 1997, Enumerative combinatorics
[3] On the number of points on abelian and Jacobian varieties over finite fields
Aubry, Yves
Haloui, Safia
Lachaud, Gilles
[J]. COMPTES RENDUS MATHEMATIQUE, 2012, 350 (19-20) : 907 - 910
[4] On the existence of dimension zero divisors in algebraic function fields defined over Fq
Ballet, S.
Ritzenthaler, C.
Rolland, R.
[J]. ACTA ARITHMETICA, 2010, 143 (04) : 377 - 392
[5] Lower bounds on the class number of algebraic function fields defined over any finite field
Ballet, Stephane
Rolland, Robert
[J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2012, 24 (03): : 505 - 540
[6] Deuring M., 1941, Abh. Math. Sem. Hansischen Univ, V14, P197, DOI 10.1007/BF02940746
[7] Elkies ND, 2004, DUKE MATH J, V122, P399
[8] FUJII J. I., 1998, Sci. Math., V1, P307
[9] Haloui S., 2011, THESIS U MEDITERRANE
[10] JACOBIANS IN ISOGENY CLASSES OF ABELIAN SURFACES OVER FINITE FIELDS
Howe, Everett W.
Nar, Enric
Ritzenthaler, Christophe
[J]. ANNALES DE L INSTITUT FOURIER, 2009, 59 (01) : 239 - 289