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On equisingular approximation of plurisubharmonic functions

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Title
On equisingular approximation of plurisubharmonic functions
Author(s)
An, Jongbong; Hoseob Seo
Publication Date
2023-05
Journal
Journal of Mathematical Analysis and Applications, v.521, no.2
Publisher
Academic Press
Abstract
It is a natural question to ask which plurisubharmonic functions admit a 'nice' approximation in the sense of a decreasing equisingular approximation with analytic singularities. For arbitrary toric plurisubharmonic functions, we give a criterion for admitting a nice approximation with toric approximants. Our results are motivated by a recent result of Guan for toric plurisubharmonic functions of the diagonal type.(c) 2023 Elsevier Inc. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/13737
DOI
10.1016/j.jmaa.2022.126987
ISSN
0022-247X
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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