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19932025
most citedDecomposition of homogeneous polynomials with low rank

48 citations · 399 across the 140 of their papers we have counts for

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Showing 2008 · math.AGShow all

5 papers · 2 filters

math.AG2008

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…

math.AG2008★ 2 cited

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^…

math.AG2008★ 13 cited

Local moduli of holomorphic bundles

Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe

We study moduli of holomorphic vector bundles on non-compact varieties. We discuss filtrability and algebraicity of bundles and calculate dimensions of local moduli. As particularl…

math.AG2008★ 3 cited

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…

math.AG2008★ 1 cited

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…