AbstractRecently, 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 va...
Seminar Series on Fano Varieties, Singularities, and Related TopicsThis is an online learning seminar series on Birkar's multiple work on Fano varieties, singularities, and related topics. The focus will be on main results, key ideas, applications, and open problems. The aim is to help researchers and students learn about this very exciting area of algebraic geometry and to stimulate further wo...
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