Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior of Ext for pairs of modules of large complexity over
  graded complete intersections   Let $M$ and $N$ be finitely generated graded modules over a graded complete
intersection $R$ such that $\operatorname{Ext}_R^i(M,N)$ has finite length for
all $i\gg 0$. We show that the even and odd Hilbert polynomials, which give the
lengths of $\operatorname{Ext}^i_R(M,N)$ for all large even $i$ and all large
odd $i$, have the same degree and leading coefficient whenever the highest
degree of these polynomials is at least the dimension of $M$ or $N$.
Refinements of this result are given when $R$ is regular in small codimensions.

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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin