Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multigraded regularity, a*-invariant and the minimal free resolution   In recent years, two different multigraded variants of Castelnuovo-Mumford
regularity have been developed, namely multigraded regularity, defined by the
vanishing of multigraded pieces of local cohomology modules, and the resolution
regularity vector, defined by the multidegrees in a minimal free resolution. In
this paper, we study the relationship between multigraded regularity and the
resolution regularity vector. Our method is to investigate multigraded variants
of the usual a*-invariant. This, in particular, provides an effective approach
to examining the vanishing of multigraded pieces of local cohomology modules
with respect to different graded irrelevant ideals.

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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: supr-con