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

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

2012-03-23

arxiv.org/abs/1203.5253v1

Mathematics

Differential Geometry

Scientific paper

We study the convergence behavior of the general inverse $\sigma_k$-flow on
K\"{a}hler 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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