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Siano $X$ una varietà algebrica proiettiva complessa non singolare tridimensionale, $L$ un fibrato lineare ampio su $X$ , e $n\geq 2$ un intero. Si prova che, a meno di contrarre un numero finito di $-1$ -piani di $X$ , il fibrato $K_{X}\bigotimes L^{n}$ è ampio ad eccezione di alcuni casi esplicitamente descritti. Come applicazione si dimostra l'ampiezza del divisore di ramificazione di un qualunque rivestimento di $\mathbf{P}^{3}$ o della quadrica liscia di $\mathbf{P}^{4}$ .

On the boundedness of the set of ample vector bundles with fixed sectional genus

E. Ballico (1993)

Rendiconti del Seminario Matematico della Università di Padova

On the Castelnuovo-Mumford regularity of products of ideal sheaves.

Sidman, Jessica (2002)

Advances in Geometry

On the cohomological strata of families of vector bundles on algebraic surfaces

Edoardo Ballico (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this Note we study certain natural subsets of the cohomological stratification of the moduli spaces of rank $2$ vector bundles on an algebraic surface. In the last section we consider the following problem: take a bundle $E$ given by an extension, how can one recognize that $E$ is a certain given bundle? The most interesting case considered here is the case $E = T P^{3} (t)$ since it applies to the study of codimension $1$ meromorphic foliations with singularities on $P^{3}$ .

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On moduli of $G$ -bundles of a curve for exceptional $G$

On Newstaed' s conjecture on vector bundles on algebraic curves.

On rank two vector bundles on an algebraic surface.

On real algebraic vector bundles.

On reflexive sheaves with low sectional genera on threefolds.

On Stable and Ample Vector Bundles of Rank 2 on Curves.

On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.

On tensor products of ample line bundles on abelian varieties.

On the 2 Very Ampleness of the Adjoint Bundle.

On the Adjunction Mapping.

On the Adjunction Mapping for Singular Projective Varieties.

On the ampleness of $K_{X}\bigotimes L^{n}$ for a polarized threefold $(X,L)$

On the boundedness of the set of ample vector bundles with fixed sectional genus

On the Castelnuovo-Mumford regularity of products of ideal sheaves.

On the cohomological strata of families of vector bundles on algebraic surfaces

On the Cohomology Groups of Moduli Spaces of Vector Bundles on Curves.

On the cohomology of twistor flag spaces

On the components of moduli of simple sheaves on a surface.

On the cyclic homology of ringed spaces and schemes.

On the deformation of orthogonal bundles over the projective line.

Currently displaying 21 – 40 of 79