The object of this note are the moduli spaces of cubic fourfolds (respectively, Gushel-Mukai fourfolds) which contain some special rational surfaces. Under certain hypotheses on the families of such surfaces, we develop a general method to show the unirationality of moduli spaces of n-pointed such fourfolds. We apply this to some codimension-one loci of cubic fourfolds (respectively, Gushel-Mukai fourfolds) which appeared in the literature recently.

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

Stagliano, G
2022

Abstract

The object of this note are the moduli spaces of cubic fourfolds (respectively, Gushel-Mukai fourfolds) which contain some special rational surfaces. Under certain hypotheses on the families of such surfaces, we develop a general method to show the unirationality of moduli spaces of n-pointed such fourfolds. We apply this to some codimension-one loci of cubic fourfolds (respectively, Gushel-Mukai fourfolds) which appeared in the literature recently.
Birational geometry
Fano varieties
Unirationality
Moduli spaces
Projective geometry
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/538945
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact