Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Nadel vanishing theorem for metrics with minimal singularities on big
  line bundles   The purpose of this paper is to establish a Nadel vanishing theorem for big
line bundles with multiplier ideal sheaves of singular metrics admitting an
analytic Zariski decomposition (such as, metrics with minimal singularities and
Siu's metrics). For this purpose, we apply the theory of harmonic integrals and
generalize Enoki's proof of Koll'ar's injectivity theorem. Moreover we
investigate the asymptotic behavior of harmonic forms with respect to a family
of regularized metrics.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph