Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An injectivity theorem with multiplier ideal sheaves of singular metrics
  with transcendental singularities   The purpose of this paper is to establish an injectivity theorem generalized
to pseudo-effective line bundles with transcendental (non-algebraic) singular
hermitian metrics and multiplier ideal sheaves. As an application, we obtain a
Nadel type vanishing theorem. For the proof, we study the asymptotic behavior
of the harmonic forms with respect to a family of regularized metrics, and give
a method to obtain L2-estimates of solutions of the dbar-equation by using the
de Rham-Weil isomorphism between the dbar-cohomology and the check{C}ech
cohomology.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys