Degenerate Complex Monge Ampere Equation Part I

Alireza Bahraini

Degenerate Complex Monge Ampere Equation Part I

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arxiv 2302.14106 v3 pith:6HVSSBCM submitted 2023-02-03 math.DG math.AP

Alireza Bahraini This is my paper · ORCID

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We describe the behavior of the singularities of solutions to degenerate complex Monge-Amp`ere equations on K\"ahler manifolds. This was not resolved since the fundamental paper of S-T Yau \cite{y} on this subject.

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On a Class of Singular Complex Manifolds
math.DG 2024-11 reject novelty 6.0 of 10

A proposed extension of Kodaira-Hodge theory to complex manifolds whose complex structure degenerates along a divisor, built from degenerate complex Monge-Ampère solutions.

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