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Pré-Publication, Document De Travail Année : 2022

Birational geometry of some universal families of n-pointed Fano fourfolds

Hanine Awada
  • Fonction : Auteur
Giovanni Staglianò
  • 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.
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Dates et versions

hal-03413176 , version 1 (29-03-2024)
hal-03413176 , version 2 (02-04-2024)

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Hanine Awada, Michele Bolognesi, Giovanni Staglianò. Birational geometry of some universal families of n-pointed Fano fourfolds. 2024. ⟨hal-03413176v2⟩
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