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arXiv · 2009.11770

Some Moduli of $n$-pointed Fano Fourfolds

Hanine Awada·Michele Bolognesi·Giovanni Stagliano'
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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 $n$-pointed such fourfolds. We apply this to some codimension 1 loci of cubic fourfolds (resp., Gushel-Mukai fourfolds) appeared in the literature recently.

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Hanine Awada, Michele Bolognesi, Giovanni Stagliano'. 2020-09-24. Some Moduli of $n$-pointed Fano Fourfolds. https://arxiv.org/abs/2009.11770

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