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
2022-01-01
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Birational_geometry_of_some_universal_families_of_n-pointed_Fano_fourfolds.pdf
solo gestori archivio
Descrizione: main file
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
341.47 kB
Formato
Adobe PDF
|
341.47 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.