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Some Moduli of $n$-pointed Fano Fourfolds

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Hanine Awada
  • Fonction : Auteur
Giovanni Stagliano'
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03413176 , version 1 (03-11-2021)

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Michele Bolognesi, Hanine Awada, Giovanni Stagliano'. Some Moduli of $n$-pointed Fano Fourfolds. 2021. ⟨hal-03413176⟩
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