Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactification of configuration spaces via Hilbert schemes   Let F(X,n):= X^n-\Delta be the complementary of the union \Delta of the
diagonals of X^n and let U be a quotient of F(X,n) (possibly trivial) by a
subgroup of the symmetric group S_n. We construct compactifications of U in
products of Hilbert schemes. Our approach generalizes and unifies classical
constructions by Schubert-Semple, Le Barz-Keel, Kleiman and Cheah. An extensive
study is done in the case n<4. This includes in particular a complete
classification and a description of the quotients by the natural actions.

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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg