Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Line bundles, connections, Deligne-Beilinson and absolute Hodge
  cohomology   It is known that the Picard group of a complex manifold can be expressed as a
Deligne cohomology group. One may wonder if the same holds for the Picard group
of a smooth algebraic variety and Deligne-Beilinson cohomology but this is not
true, as already remarked by M. Saito. We explain how one has to modify the
latter, show that the Picard group can be expressed by absolute Hodge
cohomology, too, and introduce an intermediate object between Picard group and
usual Deligne-Beilinson cohomology group. Similarly as in the case of Deligne
cohomology one can relate line bundles with a regular connection to (modified)
Deligne-Beilinson cohomology. In order to take irregular connections into
account one has to change the definition of Deligne-Beilinson cohomology even
more.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin