Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of families of singular schemes on threefolds and on ruled
  fourfolds   The main purpose of this paper is twofold. We first want to analyze in
details the meaningful geometric aspect of the method introduced in the
previous paper [12], concerning regularity of families of irreducible, nodal
"curves" on a smooth, projective threefold $X$. This analysis highlights
several fascinating connections with families of other singular geometric
"objects" related to $X$ and to other varieties.
  Then, we generalize this method to study similar problems for families of
singular divisors on ruled fourfolds suitably related to $X$.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas