2021/12/04 by Jongbong An, An, Jongbong, Hoseob Seo +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2112.02318
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.