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arXiv · 1407.2504

Weak solutions to degenerate complex Monge-Ampére Flows II

Philippe Eyssidieux·Vincent Guedj·Ahmed Zeriahi
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Abstract

Studying the (long-term) behavior of the Kähler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Ampére equations. The purpose of this article, the second of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Ampére flows on compact Kähler manifolds. Our general theory allows in particular to define and study the (normalized) Kähler-Ricci flow on varieties with canonical singularities, generalizing results of Song and Tian.

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Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi. 2014-07-09. Weak solutions to degenerate complex Monge-Ampére Flows II. https://arxiv.org/abs/1407.2504

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