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math.DG2026
Ricci entropy, RCD structures and Kahler spaces
Bin Guo, Jian Song, Jacob Sturm
This paper is the final installment in our series on the geometric theory of complex Monge-Ampere equations. We study singular Kahler metrics on compact normal Kahler spaces with k…
math.DG2026
Geometric Holder estimates for complex Monge-Ampere equations
Bin Guo, Jian Song, Jacob Sturm
This paper is the continuation of our earlier work on Holder estimates for Kahler potentials on compact normal Kahler spaces. We establish a geometric counterpart for analytic Hold…
math.DG2026
Geometric stability for complex Monge-Ampere equations
Bin Guo, Jian Song, Jacob Sturm
Let be a compact Kahler manifold. The analytic stability theorem of Kolodziej for complex Monge-Ampere equation states that for any Kahler metrics and in the same coho…