28 citations · 83 across the 41 of their papers we have counts for
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Vector Bundles on Products of Varieties with -blocks Collections
Edoardo Ballico, Francesco Malaspina
Here we consider the product of varieties with -blocks collections . We give some cohomological splitting conditions for rank 2 bundles. A cohomological characterization for vec…
A splitting criterion for vector bundles on blowing ups of the plane
Edoardo Ballico, Francesco Malaspina
Let be the blowing-up of distinct points and a vector bundle on . Here we give a cohomological criterio which is equivalent to $E \cong f_s^…
The Equations of Singular Loci of Ample Divisors on (Subvarieties of) Abelian Varieties
Luigi Lombardi, Francesco Malaspina
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system of an ample line bundle on a complex abelian variety. We prove an effe…
A Few Splitting Criteria for Vector Bundles
Francesco Malaspina
We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multipr…
Qregularity and an Extension of Evans-Griffiths Criterion to Vector Bundles on Quadrics
Edoardo Ballico, Francesco Malaspina
Here we define the concept of Qregularity for coherent sheaves on quadrics. In this setting we prove analogs of some classical properties. We compare the Qregularity of coherent sh…
Regularity and Cohomological Splitting Conditions for Vector Bundles on Multiprojective Spaces
Edoardo Ballico, Francesco Malaspina
Here we give a definition of regularity on multiprojective spaces which is different from the definitions of Hoffmann-Wang and Costa-Miró Roig. By using this notion we prove some s…