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arXiv · 1203.5253

Convergence of general inverse $σ_k$-flow on Kähler manifolds with Calabi Ansatz

Hao Fang·Mijia Lai
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Abstract

We study the convergence behavior of the general inverse $σ_k$-flow on Kähler manifolds with initial metrics satisfying the Calabi Ansatz. The limiting metrics can be either smooth or singular. In the latter case, interesting conic singularities along negatively self-intersected sub-varieties are formed as a result of partial blow-up.

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Hao Fang, Mijia Lai. 2012-03-23. Convergence of general inverse $σ_k$-flow on Kähler manifolds with Calabi Ansatz. https://arxiv.org/abs/1203.5253

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