Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the Castelnuovo-Mumford regularity of tensor products   In this paper we show how, given a complex of graded modules and knowing some
partial Castelnuovo-Mumford regularities for all the modules in the complex and
for all the positive homologies, it is possible to get a bound on the
regularity of the zero homology. We use this to prove that if $\dim
\tor_1^R(M,N)\leq1$ then $\reg(M\otimes N)\leq \reg(M)+\reg(N)$, generalizing
results of Chandler, Conca and Herzog, and Sidman. Finally we give a
description of the regularity of a module in terms of the postulation numbers
of filter regular hyperplane restrictions.

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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th