Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derived geometry of the first formal neighborhood of a smooth analytic
  cycle   If $X$ is a smooth scheme of characteristic zero or a complex analytic
manifold, and $S$ is a locally split infinitesimal thickening of $X$, we
compute explicitly the derived self-intersection of $X$ in $S$.

32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat