Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vanishing polyhedron and collapsing map   In this paper we give a detailed proof that the Milnor fiber $X_t$ of an
analytic complex isolated singularity function defined on a reduced
$n$-equidimensional analytic complex space $X$ is a regular neighborhood of a
polyhedron $P_t \subset X_t$ of real dimension $n-1$. Moreover, we describe the
degeneration of $X_t$ onto the special fiber $X_0$, by giving a continuous
collapsing map $\Psi_t: X_t \to X_0$ which sends $P_t$ to $\{0\}$ and which
restricts to a homeomorphism $X_t \backslash P_t \to X_0 \backslash \{0\}$.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio