Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A transcendental approach to injectivity theorem for log canonical pairs   In this paper, we study transcendental aspects of the cohomology groups of
adjoint bundles of log canonical pairs, aiming to establish an analytic theory
for log canonical singularities. As a result, in the case of purely log
terminal pairs, we give an analytic proof of the injectivity theorem originally
proved by the Hodge theory. Our method is based on the theory of harmonic
integrals and the L2-method for the dbar-equation, and it enables us to
generalize the injectivity theorem to the complex analytic setting.

32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex