Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern degree functions   We introduce Chern degree functions for complexes of coherent sheaves on a
polarized surface, which encode information given by stability conditions on
the boundary of the $(\alpha, \beta)$-plane. We prove that these functions
extend to continuous real valued functions and we study their differentiability
in terms of stability. For abelian surfaces, Chern degree functions coincide
with the cohomological rank functions defined by Jiang-Pareschi. We illustrate
in some geometrical situations a general strategy to compute these functions.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int