Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic embeddings of smooth almost complex structures   The goal of this work is to prove an embedding theorem for compact almost
complex manifolds into complex algebraic varieties. It is shown that every
almost complex structure can be realized by the transverse structure to an
algebraic distribution on an affine algebraic variety, namely an algebraic
subbundle of the tangent bundle. In fact, there even exist universal embedding
spaces for this problem, and their dimensions grow quadratically with respect
to the dimension of the almost complex manifold to embed. We give precise
variation formulas for the induced almost complex structures and study the
related versality conditions. At the end, we discuss the original question
raised by F.Bogomolov: can one embed every compact holomorphic manifold as a C
infinity smooth subvariety that is transverse to an algebraic foliation on a
complex projective algebraic variety?

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th