English

New examples of rational Gushel-Mukai fourfolds

Algebraic Geometry 2020-02-26 v2

Abstract

We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of the Kuznetsov Conjecture for cubic fourfolds: a Gushel--Mukai fourfold is rational if and only if it admits an associated K3 surface.

Keywords

Cite

@article{arxiv.1910.12838,
  title  = {New examples of rational Gushel-Mukai fourfolds},
  author = {Michael Hoff and Giovanni Staglianò},
  journal= {arXiv preprint arXiv:1910.12838},
  year   = {2020}
}

Comments

Minor changes. Exposition improved. To appear in Mathematische Zeitschrift