English

Lines on cubic surfaces and Witt invariants

Algebraic Geometry 2020-08-12 v4 Group Theory Number Theory Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.1909.05312,
  title  = {Lines on cubic surfaces and Witt invariants},
  author = {Eva Bayer-Fluckiger and Jean-Pierre Serre},
  journal= {arXiv preprint arXiv:1909.05312},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T11:12:47.311Z