Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of singular K\"ahler-Einstein potentials   In this note, we investigate some regularity aspects for solutions of
degenerate complex Monge-Amp\`ere equations (DCMAE) on singular spaces. First,
we study the Dirichlet problem for DCMAE on singular Stein spaces, showing a
general continuity result. A consequence of our results is that
K\"ahler-Einstein potentials are continuous at isolated singularities. Next, we
establish the global continuity of solutions to DCMAE when the reference class
belongs to the real N\'eron-Severi group. This yields in particular the
continuity of K\"ahler-Einstein potentials on any irreducible Calabi-Yau
variety.

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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat