On the number of points of some varieties over finite fields

被引：1

作者：

Perret, M ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, Unite Math Pures & Appl, UMR 5669, F-69363 Lyon 7, France

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2003年 / 35卷

关键词：

D O I：

10.1112/S0024609302001820

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the number of F-q-rational points of an irreducible projective smooth 3-dimensional geometrically unirational variety defined over the finite field F-q with q elements is congruent to 1 modulo q. Some Fermat 3-folds, some classes of rationally connected 3-folds and some weighted projective d-folds also having this property are given.

引用

页码：309 / 320

页数：12

共 50 条

[21] Lehmer points and visible points on affine varieties over finite fields
Mak, Kit-Ho
Zaharescu, Alexandru
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2014, 156 (02) : 193 - 207
[22] RATIONAL POINTS ON ALGEBRAIC VARIETIES OVER LARGE NUMBER FIELDS
JARDEN, M
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (03) : 603 - &
[23] On the number of rational points of Jacobians over finite fields
Lebacque, Philippe
Zykin, Alexey
[J]. ACTA ARITHMETICA, 2015, 169 (04) : 373 - 384
[24] On the number of rational points of hypersurfaces over finite fields
Ballico, Edoardo
Cossidente, Antonio
[J]. RESULTS IN MATHEMATICS, 2007, 51 (1-2) : 1 - 4
[25] Bounds for the number of points on curves over finite fields
Arakelian, Nazar
Borges, Herivelto
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2018, 228 (01) : 177 - 199
[26] On the Number of Rational Points of Hypersurfaces over Finite Fields
Edoardo Ballico
Antonio Cossidente
[J]. Results in Mathematics, 2007, 51 : 1 - 4
[27] On the number of points of algebraic sets over finite fields
Lachaud, Gilles
Rolland, Robert
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (11) : 5117 - 5136
[28] Bounds for the number of points on curves over finite fields
Nazar Arakelian
Herivelto Borges
[J]. Israel Journal of Mathematics, 2018, 228 : 177 - 199
[29] Counting points on curves and Abelian varieties over finite fields
Adleman, LM
Huang, MD
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2001, 32 (03) : 171 - 189
[30] ABELIAN VARIETIES OVER FINITE FIELDS AND THEIR GROUPS OF RATIONAL POINTS
Marseglia, Stefano
Springer, Caleb
[J]. arXiv, 2022,

← 1 2 3 4 5 →