We take a first step towards the classification of singular Mori dream K3 surfaces. We prove that if the Picard lattice of a singular K3 surface is Mori dream, then the surface is Mori dream. Moreover, we show that for singular K3 surfaces, of Picard rank two, being Mori dream is equivalent to contain two negative curves intersecting each other, and apply this result to study Mori dreamness of K3 surfaces with a singular point of type An.
Mori dream singular K3 surfaces
Massarenti A.
Secondo
;
2025
Abstract
We take a first step towards the classification of singular Mori dream K3 surfaces. We prove that if the Picard lattice of a singular K3 surface is Mori dream, then the surface is Mori dream. Moreover, we show that for singular K3 surfaces, of Picard rank two, being Mori dream is equivalent to contain two negative curves intersecting each other, and apply this result to study Mori dreamness of K3 surfaces with a singular point of type An.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Alex_Antonio_William_MZ.pdf
accesso aperto
Descrizione: Full text editoriale
Tipologia:
Full text (versione editoriale)
Licenza:
Creative commons
Dimensione
321.33 kB
Formato
Adobe PDF
|
321.33 kB | Adobe PDF | Visualizza/Apri |
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
