activity
20142026
most citedMonotonicity of non-pluripolar products and complex Monge-Ampère equations with prescribed singularity

61 citations · 233 across the 26 of their papers we have counts for

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Showing 2014Show all

4 papers · 1 filter

math.CV2014

Uniqueness and short time regularity of the weak Kähler-Ricci flow

Eleonora Di Nezza, Chinh H. Lu

Let be a compact Kähler manifold. We prove that the Kähler-Ricci flow starting from arbitrary closed positive -currents is smooth outside some analytic subset. This regu…

math.CV2014

Mixed Hessian inequalities and uniqueness in the class

Sławomir Dinew, Chinh H. Lu

We prove a general inequality for mixed Hessian measures by global arguments. Our method also yields a simplification for the case of complex Monge-Ampère equation. Exploiting this…

math.CV2014

Generalized Monge-Ampère capacities

Eleonora Di Nezza, Chinh H. Lu

We study various capacities on compact Kähler manifolds which generalize the Bedford-Taylor Monge-Ampère capacity. We then use these capacities to study the existence and the regul…

math.CV2014

Complex Monge-Ampère equations on quasi-projective varieties

Eleonora Di Nezza, Chinh H. Lu

We introduce generalized Monge-Ampère capacities and use these to study complex Monge-Ampère equations whose right-hand side is smooth outside a divisor. We prove, in many cases, t…