Let (X,L) be a smooth polarized variety of dimension n. Let A \in |L| be an effective irreducible divisor, and let \Sigma be the singular locus of A. We assume that \Sigma is a smooth subvariety of dimension k \ge 2 and codimension c \ge 3, consisting of non-degenerate quadratic singularities . We study positivity conditions for adjoint bundles K_X + tL with t \ge n-3. Several explicit examples motivate the discussion.
Adjunction and singular loci of hyperplane sections / M. C. Beltrametti, A. Lanteri, A .J. Sommese. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - 67:2(2015 Apr), pp. 861-875. [10.2969/jmsj/06720861]
Adjunction and singular loci of hyperplane sections
A. LanteriSecondo
;
2015
Abstract
Let (X,L) be a smooth polarized variety of dimension n. Let A \in |L| be an effective irreducible divisor, and let \Sigma be the singular locus of A. We assume that \Sigma is a smooth subvariety of dimension k \ge 2 and codimension c \ge 3, consisting of non-degenerate quadratic singularities . We study positivity conditions for adjoint bundles K_X + tL with t \ge n-3. Several explicit examples motivate the discussion.
| File | Dimensione | Formato | |
|---|---|---|---|
|
BeLaSo_JMSJ67(2015)0861-0875-1.pdf
accesso riservato
Descrizione: articolo principale
Tipologia:
Publisher's version/PDF
Dimensione
237.37 kB
Formato
Adobe PDF
|
237.37 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
JMSJ6703copyright.pdf
accesso riservato
Descrizione: Copyright agreement
Tipologia:
Contratto con l'editore
Dimensione
461.58 kB
Formato
Adobe PDF
|
461.58 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
