We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.
Boundedness of elliptic Calabi-Yau threefolds / S. Filipazzi, C.D. Hacon, R. Svaldi. - (2021 Dec 02). [10.48550/arxiv.2112.01352]
Boundedness of elliptic Calabi-Yau threefolds
R. SvaldiUltimo
2021
Abstract
We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2010.09769.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
707.3 kB
Formato
Adobe PDF
|
707.3 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
