Data di Pubblicazione:
2000
Citazione:
Geometric genera for ample vector bundles with regular sections / A. Lanteri. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - 13:1(2000), pp. 33-48.
Abstract:
Let X be a smooth complex projective variety of dimension n \geq 2. A notion of geometric genus p_g(X,E) for ample vector bundeles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: p_g(X,E) \geq h^{n-r,0}(X). The question of characterizing equalityis discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
ample vectoe bundles ; geometric genus ; adjunction
Elenco autori:
A. Lanteri
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