Configurations of noncollinear points in the projective plane

被引：1

作者：

Das, Ronno ^{[1
]}

O'Connor, Ben ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2021年 / 21卷 / 04期

关键词：

COHOMOLOGY; VARIETIES; SPACES;

D O I：

10.2140/agt.2021.21.1941

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the space F-n of configurations of n points in P-2 satisfying the condition that no three of the points lie on a line. For n = 4, 5, 6, we compute H* (F-n ; Q) as an O-n-representation. The cases n = 5; 6 are computed via the Grothendieck-Lefschetz trace formula in etale cohomology and certain "twisted" point counts for analogous spaces over F-q.

引用

页码：1941 / 1972

页数：32

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