Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple point spaces of finite holomorphic maps   We show that there exists a unique possible definition, with certain natural
properties, of the multiple point space of a holomorphic map between complex
manifolds. Our construction coincides with the double point space and the k-th
multiple point space for corank one map-germs, due to Mond. We also give some
interesting properties of the double point space and prove that in many cases
it can be computed as the zero locus of certain quotient of ideals.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph