Data di Pubblicazione:
2014
Citazione:
Adjunction and singular loci of hyperplane sections, II / M. C. Beltrametti, A. Lanteri, A.J. Sommese. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - 63:2(2014 May), pp. 247-255. [10.1007/s12215-014-0155-9]
Abstract:
Let (X,L) be a smooth polarized variety of dimension n. Let A \in |L| be an irreducible hypersurface and let \Sigma be the singular locus of A. We assume that \Sigma is a smooth subvariety of dimension k \geq 2, and odd codimension \geq 3. Motivated from the result of Beltrametti et al. (J. Math. Soc. Japan; to appear), we study the nefness and bigness of the adjoint bundle K_{\Sigma}+(k-2)L_{\Sigma} in this framework. Sevferal explicit examples show that the results are effective.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Adjunction theory; Special varieties; Non-degenerate quadratic singularities
Elenco autori:
M.C. Beltrametti, A. Lanteri, A.J. Sommese
Link alla scheda completa: