English

On some families of Gushel-Mukai fourfolds

Algebraic Geometry 2021-09-08 v3

Abstract

We give explicit descriptions of some Noether-Lefschetz divisors in the moduli space of Gushel-Mukai fourfolds. As a consequence we obtain that their Kodaira dimension is negative.

Keywords

Cite

@article{arxiv.2002.07026,
  title  = {On some families of Gushel-Mukai fourfolds},
  author = {Giovanni Staglianò},
  journal= {arXiv preprint arXiv:2002.07026},
  year   = {2021}
}

Comments

A remark of Debarre and Kuznetsov that extends the validity of the main result has been added (see Cor. 2.5). This version will appear in Algebra & Number Theory