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• W2892326427 abstract "There is an obstruction to the existence of Kahler -Einstein metrics which is used to define the GIT weight for K-stability, and it has been extended to various geometric problems. This survey paper considers such extended obstructions to the existence problem of Kahler -Ricci solitons, Sasaki-Einstein metrics and (conformally) Einstein-Maxwell Kahler metrics. These three cases have a common feature that the obstructions are parametrized by a space of vector fields. We see, in these three cases, the obstructions are obtained as the derivative of suitable volume functionals. This tells us for which vector fields we should try to solve the existence problems." @default.
• W2892326427 created "2018-09-27" @default.
• W2892326427 creator A5015007942 @default.
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• W2892326427 date "2018-09-05" @default.
• W2892326427 modified "2023-10-18" @default.
• W2892326427 title "Volume minimization and obstructions to solving some problems in Kahler geometry" @default.
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• W2892326427 doi "https://doi.org/10.48550/arxiv.1809.01429" @default.
• W2892326427 hasPublicationYear "2018" @default.
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