A variational approach to the Yau–Tian–Donaldson conjecture
A variational approach to the Yau–Tian–Donaldson conjecture
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DOI：
10.1090/jams/964
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发表时间：
2015-09
影响因子：
3.9
通讯作者：
R. Berman;S. Boucksom;Mattias Jonsson
中科院分区：
文献类型：
--
作者：
R. Berman;S. Boucksom;Mattias Jonsson
We give a variational proof of a version of the Yau–Tian–Donaldson conjecture for twisted Kähler–Einstein currents, and use this to express the greatest (twisted) Ricci lower bound in terms of a purely algebro-geometric stability threshold. Our approach does not involve a continuity method or the Cheeger–Colding–Tian theory, and uses instead pluripotential theory and valuations. Along the way, we study the relationship between geodesic rays and non-Archimedean metrics.
