Seven points in general linear position

2020/07/31 by Olof Bergvall, Bergvall, Olof
Mathematics · #14F20 (Primary) 14L30 #14N20 #52C35 #55R80 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2007.16014

openalex publication_date 2020/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the cohomology groups of the space of seven points in general linear position as representations of the symmetric group on seven elements by making equivariant point counts over finite fields. We also comment on the case of eight points.

Citations

• Counting Plane Cubic Curves over Finite Fields with a Prescribed Number of Rational Intersection Points

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