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The continuity equation with cusp singularities

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Abstract

In this paper we study a special case of the completion of cusp Kähler–Einstein metric on the regular part 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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Acknowledgements

The author would like to thank Professor Gang Tian for his constant help, support and encouragement. The author is also grateful to the essential comments given by the referees.

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Authors and Affiliations

  1. Institute of Mathematics, Hunan University, Changsha, China

    Yan Li

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  1. Yan Li
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Correspondence to Yan Li.

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Communicated by Ngaiming Mok.

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Li, Y. The continuity equation with cusp singularities. Math. Ann. 376, 729–764 (2020). https://doi.org/10.1007/s00208-018-1752-2

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  • DOI: https://doi.org/10.1007/s00208-018-1752-2

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