Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The strength for line bundles   We introduce the strength for sections of a line bundle on an algebraic
variety. This generalizes the strength of homogeneous polynomials that has been
recently introduced to resolve Stillman's conjecture, an important problem in
commutative algebra. We establish the first properties of this notion and give
some tool to obtain upper bounds on the strength in this framework. Moreover,
we show some results on the usual strength such as the reducibility of the set
of strength two homogeneous polynomials.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg