English

A very general quartic double fourfold is not stably rational

Algebraic Geometry 2016-05-12 v1 Number Theory

Abstract

We prove that a very general double cover of the projective four-space, ramified in a quartic threefold, is not stably rational.

Cite

@article{arxiv.1605.03220,
  title  = {A very general quartic double fourfold is not stably rational},
  author = {Brendan Hassett and Alena Pirutka and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:1605.03220},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T13:57:57.318Z