Some Moduli of $n$-pointed Fano Fourfolds
Algebraic Geometry
2021-02-10 v3
Abstract
The object of this note is the moduli spaces of cubic fourfolds (resp., Gushel-Mukai fourfolds) which contain some special rational surfaces. Under some hypotheses on the families of such surfaces, we develop a general method to show the unirationality of the moduli spaces of the -pointed such fourfolds. We apply this to some codimension 1 loci of cubic fourfolds (resp., Gushel-Mukai fourfolds) appeared in the literature recently.
Keywords
Cite
@article{arxiv.2009.11770,
title = {Some Moduli of $n$-pointed Fano Fourfolds},
author = {Hanine Awada and Michele Bolognesi and Giovanni Stagliano'},
journal= {arXiv preprint arXiv:2009.11770},
year = {2021}
}
Comments
14 pages, improved results