Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and cohomology of kernel bundles on projective space   In this paper, we study the cohomology of vector bundles on projective space
defined as kernels or cokernels of general maps $V_1 \to V_2$, where the $V_i$
are direct sums of line bundles or certain exceptional bundles. We prove an
asymptotic cohomology vanishing theorem. We characterize the stability of
general Steiner bundles on projective space. We also give a criterion for a
Steiner bundle to be ample.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph