Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density of positive closed currents, a theory of non-generic
  intersections   We introduce a notion of density which extends both the notion of Lelong
number and the theory of intersection for positive closed currents on Kaehler
manifolds. For arbitrary finite family of positive closed currents on a compact
Kaehler manifold we construct cohomology classes which represent their
intersection even when a phenomenon of excess dimension occurs. An example is
the case of two algebraic varieties whose intersection has dimension larger
than the expected number. The theory allows to solve problems in complex
dynamics. Basic calculus on the density of currents is established.

18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio