Data di Pubblicazione:
2015
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Adjunction theory; Non-degenerate quadratic singularities; Special varieties
Elenco autori:
M.C. Beltrametti, A. Lanteri, A..J. Sommese
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