Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the nearly smooth complex spaces   We introduce a class of normal complex spaces having only mild sin-gularities
(close to quotient singularities) for which we generalize the notion of a
(analytic) fundamental class for an analytic cycle and also the notion of a
relative fundamental class for an analytic family of cycles. We also generalize
to these spaces the geometric intersection theory for analytic cycles with
rational positive coefficients and show that it behaves well with respect to
analytic families of cycles. We prove that this intersection theory has most of
the usual properties of the standard geometric intersection theory on complex
manifolds, but with the exception that the intersection cycle of two cycles
with positive integral coefficients that intersect properly may have rational
coefficients. AMS classification. 32 C 20-32 C 25-32 C 36.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th