Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

22^nd of October 2024, 14:30-16:00, room D’Antoni

 

 

 

 

 

 

 

 

Delta invariants of Fano weighted hypersurfaces

 

 

Taro Sano

Kobe University

 

 

 

K-stability (or existence of Kähler-Einstein metrics) of
explicit Fano varieties has been studied for a long time.
Delta invariants (stability thresholds) detect the K-stability of Fano varieties.
Moreover, Abban--Zhuang developed a powerful method to compute the
delta invariants by adjunctions.

In this talk, I will explain our recent results on the K-stability of
some Fano weighted hypersurfaces via the Abban--Zhuang method.

This is based on joint work with Luca Tasin.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry