Lines on cubic surfaces and Witt invariants

2019/09/11 by Eva Bayer‐Fluckiger, Eva Bayer-Fluckiger, Jean-Pierre Serre +2
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT) #math.AG #math.GR #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1909.05312

Added an appendix giving a formula for the Stiefel-Whitney classes of any linear representation of G in terms of four basic invariants. Minor corrections

openalex publication_date 2019/09/11 · arxiv created 2020/08/11 · arxiv updated 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this note is to give a formula expressing the trace form associated with the 27 lines of a cubic surface.

Citations

• Cohomological invariants mod 2 of Weyl groups

Related

• Computing the lines of a smooth cubic surface
• Rational lines on smooth cubic surfaces
• Twenty-Seven Questions about the Cubic Surface
• Counting lines on surfaces
• The mirror of the cubic surface