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Valuative stability of polarized varieties and applications

来源: 11-27

时间:November 27, 2022 13:00 - 14:15

地点:Zoom Meeting ID: 816 4977 5126 Passcode: Kahler

主讲人:刘亚雄 Liu, Yaxiong Post Graduate, YMSC

Abstract

Recently, Dervan-Legendre considered the valuative criterion of polarized varieties. We will study the valuative stability and show that it is an open condition. We would like to study the valuative criterion for the Donaldson's J-equation. Motivated by the beta-invariant of Dervan-Legendre, we introduce a notion, the so-called valuative J-stability and prove that J-stability implies valuative J-stability. If time permits, we show the upper bound of the volume of K-semistable polarized toric varieties as an application of valuative stability.

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