Data di Pubblicazione:
2021
Citazione:
Generalized polarized manifolds with low second class / A. Lanteri, A.L. Tironi. - In: HIROSHIMA MATHEMATICAL JOURNAL. - ISSN 0018-2079. - 51:3(2021 Nov), pp. 301-334. [10.32917/h2020070]
Abstract:
On a smooth complex projective variety X of dimension n, consider an
ample vector bundle E of rank ran geq 2 and an ample line bundle H. A numerical
character m_2 =m_2(X,E,H) of the triplet (X,E,H) is defined, extending the well-known
second class of a polarized manifold (X,H), when either n = 2 or H is very ample.
Under some additional assumptions on F : = E oplus H^{oplus (n-r-2)},
triplets (X,E,H) as above whose m_2 is small with respect to the invariants
d := c_{n-2}(F) H^2 and g := 1 + (1/2)(K_X+c_1(F)+H) cdot c_{n-2}(F) cdot H
are studied and classified.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
ample vector bundle; special variety; surface;
Elenco autori:
A. Lanteri, A.L. Tironi
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