Data di Pubblicazione:
1997
Citazione:
Del Pezzo surfaces as hyperplane sections / A. Lanteri, M. Palleschi, A.J. Sommese. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - 49:3(1997), pp. 501-529.
Abstract:
Let L be a very ample line bundle on a complex projective manifold X of dimension n. We classify pairs (X,L) as above with some smooth A \in |L| being del Pezzo, i.e., -K_A=(n-2)H for some ample line bundle H on A. If H=L_A, then the problem reduces to the classification of del Pezzo manifolds, which has been done by Fujita in the more general setting of ample divisors. However, there are several examples showing that H \not= L_A can occur, which suggests the developement of a detailed structure theory in which both Fujita's theory (in the very ample setting) and all known examples fit. This is exactly the content of the paper.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
del Pezzo manifold; P-bundle; quadric fibration; Veronese bundle; ample divisor; adjunction theory
Elenco autori:
A. Lanteri, M. Palleschi, A.J. Sommese
Link alla scheda completa: