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arXiv · 1701.04965

Weak Solutions of the Chern-Ricci flow on compact complex surfaces

Xiaolan Nie
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Abstract

In this note, we prove the existence of weak solutions of the Chern-Ricci flow through blow downs of exceptional curves, as well as backwards smooth convergence away from the exceptional curves on compact complex surfaces. The smoothing property for the Chern-Ricci flow is also obtained on compact Hermitian manifolds of dimension n under a mild assumption.

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Xiaolan Nie. 2017-01-18. Weak Solutions of the Chern-Ricci flow on compact complex surfaces. https://arxiv.org/abs/1701.04965

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