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arXiv · 1701.04023

Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds

Tat Dat Tô
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Abstract

We prove that a general complex Monge-Ampère flow on a Hermitian manifold can be run from an arbitrary initial condition with zero Lelong number at all points. Using this property, we confirm a conjecture of Tosatti-Weinkove: the Chern-Ricci flow performs a canonical surgical contraction. Finally, we study a generalization of the Chern-Ricci flow on compact Hermitian manifolds, namely the twisted Chern-Ricci flow.

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Tat Dat Tô. 2017-07-31. Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds. https://doi.org/10.1007/s00208-017-1574-7

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