Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of zero-dimensional schemes and applications   In this thesis we consider the geometry of the Hilbert scheme of points in
P^n, concentrating on the locus of points corresponding to the Gorenstein
subschemes of P^n. New results are given, most importantly we provide tools for
constructing flat families and analysis of finite Gorenstein algebras and
expose their efficiency by proving smoothability of certain families of
algebras. Much of the existing theory and folklore is reviewed, providing a
micro-encyclopaedic reference.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg