A proposed extension of Kodaira-Hodge theory to complex manifolds whose complex structure degenerates along a divisor, built from degenerate complex Monge-Ampère solutions.
Degenerate Complex Monge Ampere Equation Part I
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abstract
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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math.DG 1years
2024 1verdicts
REJECT 1representative citing papers
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On a Class of Singular Complex Manifolds
A proposed extension of Kodaira-Hodge theory to complex manifolds whose complex structure degenerates along a divisor, built from degenerate complex Monge-Ampère solutions.