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Complex Monge Ampere Equations

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abstract

This is a survey of some of the recent developments in the theory of complex Monge-Ampere equations. The topics discussed include refinements and simplifications of classical a priori estimates, methods from pluripotential theory, variational methods for big cohomology classes, semiclassical constructions of solutions of homogeneous equations, and envelopes.

fields

math.AP 1

years

2019 1

verdicts

UNVERDICTED 1

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  • Parabolic complex Monge-Ampere equations on compact Kahler manifolds math.AP · 2019-06-24 · unverdicted · none · ref 56 · internal anchor

    Authors establish long-time existence and convergence results for general parabolic complex Monge-Ampere type equations on compact Kahler manifolds without convexity or concavity assumptions on the operator.