Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On divisorial filtrations on sheaves   A notion of Poincar\'e series was introduced by A.Campillo et al. It was
developed by Delgado and Gusein-Zade for a multi-index filtration corresponding
to the sequence of blow-ups. The present paper suggests the way to generalize
the notion of Poincar\'e series to the case of arbitrary locally free sheaf on
the modification of complex plane $\mathbb{C}^2$.
  This series is expressed through the topological invariants of the sheaf. For
the sheaf of holomorphic functions the answer coincides with the Poincar\'e
series found before.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys