Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Serre duality on complex spaces   In this paper we use recently developed calculus of residue currents together
with integral formulas to give a new explicit analytic realization, as well as
a new analytic proof of Serre duality on any reduced pure $n$-dimensional
paracompact complex space $X$. At the core of the paper is the introduction of
concrete fine sheaves $\mathscr{B}_X^{n,q}$ of certain currents on $X$ of
bidegree $(n,q)$, such that the Dolbeault complex
$(\mathscr{B}_X^{n,\bullet},\,\bar{\partial})$ becomes, in a certain sense, a
dualizing complex. In particular, if $X$ is Cohen-Macaulay (e.g., Gorenstein or
a complete intersection) then $(\mathscr{B}_X^{n,\bullet},\,\bar{\partial})$ is
an explicit fine resolution of the Grothendieck dualizing sheaf.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex