Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The local Euler obstruction and topology of the stabilization of
  associated determinantal varieties   This work has two complementary parts, in the first part we compute the local
Euler obstruction of generic determinantal varieties and apply this result to
compute the Chern--Schwartz--MacPherson class of such varieties. In the second
part we compute the Euler characteristic of the stabilization of an essentially
isolated determinantal singularity (EIDS). The formula is given in terms of the
local Euler obstruction and Gaffney's $m_{d}$ multiplicity.

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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex