ON THE NUMBER OF POINTS ON A COMPLETE INTERSECTION OVER A FINITE-FIELD

被引：36

作者：

HOOLEY, C ^{[1
]}

机构：

[1] UNIV WALES COLL CARDIFF,SCH MATH,CARDIFF CF1 1XL,S GLAM,WALES

来源：

JOURNAL OF NUMBER THEORY | 1991年 / 38卷 / 03期

关键词：

D O I：

10.1016/0022-314X(91)90023-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let V be a projective complete intersection defined over the finite field Fq of q=pα elements and suppose it has dimension n and a singular locus of dimension d. We prove that the number of points of V with components in Fq is equal to qn+1-1 q-1+O(q (n+d+1) 2) thus generalizing the well-known estimate of Deligne for the number of points on a non-singular complete intersection. © 1991.

引用

页码：338 / 358

页数：21

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