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arxiv: 1705.04424 · v1 · pith:CSFNPCZZnew · submitted 2017-05-12 · 🧮 math.DG

The continuity equation with cusp singularities

classification 🧮 math.DG
keywords continuitycuspmethodsingularitiesalgebro-geometriccasecompletiondifferential
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In this paper we study a special case of the completion of cusp K\"{a}hler-Einstein metric on the regular part of varieties by taking the continuity method proposed by La Nave and Tian. The differential geometric and algebro-geometric properties of the noncollapsing limit in the continuity method with cusp singularities will be investigated.

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