Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brasselet number and Newton polygons   We present a formula to compute the Brasselet number of $f:(Y,0)\to (\C, 0)$
where $Y\subset X$ is a non-degenerate complete intersection in a toric variety
$X$. As applications we establish several results concerning invariance of the
Brasselet number for families of non-degenerate complete intersections.
Moreover, when $(X,0) = (\mathbb{C}^n,0)$ we derive sufficient conditions to
obtain the invariance of the Euler obstruction for families of complete
intersections with an isolated singularity which are contained in $X$.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex