Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positivity on subvarieties and vanishing of higher cohomology   We study the relationship between positivity of line bundles restricted to
complete intersection subvarieties and the vanishing of higher cohomology
groups. Based on this connection we prove generalizations of the vanishing
theorems of Kawamata-Viehweg and Fujita that are valid for not necessarily big
line bundles.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat