Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Bundles on Products of Varieties with $n$-blocks Collections   Here we consider the product of varieties with $n$-blocks collections . We
give some cohomological splitting conditions for rank 2 bundles. A
cohomological characterization for vector bundles is also provided. The tools
are Beilinson's type spectral sequences generalized by Costa and Mir\'o-Roig.
Moreover we introduce a notion of Castelnuovo-Mumford regularity on a product
of finitely many projective spaces and smooth quadric hypersurfaces in order to
prove two splitting criteria for vector bundle with arbitrary rank.

32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol