We show that if a compact complex manifold admits a Kähler metric whose holomorphic sectional curvature is everywhere non-positive and strictly negative in at least one point, then its canonical bundle is positive. This answers in the affirmative to a question first asked by S.-T. Yau.
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle / Diverio, Simone; Trapani, Stefano. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - 111:2(2019), pp. 303-314. [10.4310/jdg/1549422103]
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
Diverio, Simone;
2019
Abstract
We show that if a compact complex manifold admits a Kähler metric whose holomorphic sectional curvature is everywhere non-positive and strictly negative in at least one point, then its canonical bundle is positive. This answers in the affirmative to a question first asked by S.-T. Yau.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Diverio_Quasi-negative-holomorphi_2019.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
272.19 kB
Formato
Adobe PDF
|
272.19 kB | Adobe PDF | Contatta l'autore |
|
Diverio_preprint_Quasi-negative-holomorphi_2019.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Creative commons
Dimensione
262.98 kB
Formato
Unknown
|
262.98 kB | Unknown |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
