English

A counterexample to the geometric Chevalley-Warning conjecture

Algebraic Geometry 2014-06-03 v4 Number Theory

Abstract

We construct a quartic threefold with L-rational singularities which has torsion in its middle homology group. This answers a question of Brown and Schnetz for all fields of characteristic zero.

Keywords

Cite

@article{arxiv.1307.7765,
  title  = {A counterexample to the geometric Chevalley-Warning conjecture},
  author = {June Huh},
  journal= {arXiv preprint arXiv:1307.7765},
  year   = {2014}
}

Comments

12 pages

R2 v1 2026-06-22T00:59:56.815Z