In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi-Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano's conjecture hold for surfaces. Finally, we study the semiampleness conjecture for CY threefolds over a mixed characteristic DVR.
SEMIAMPLENESS FOR CALABI-YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC / Bernasconi, F; Stigant, L. - In: NAGOYA MATHEMATICAL JOURNAL. - ISSN 0027-7630. - (2022). [10.1017/nmj.2022.32]
SEMIAMPLENESS FOR CALABI-YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC
Bernasconi F
;
2022
Abstract
In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi-Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano's conjecture hold for surfaces. Finally, we study the semiampleness conjecture for CY threefolds over a mixed characteristic DVR.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bernasconi_Semiampleness_2023.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Creative commons
Dimensione
473.52 kB
Formato
Adobe PDF
|
473.52 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
