Birational rigidity and alpha invariants of Fano varieties

2023/04/22 by Ivan Cheltsov, Cheltsov, Ivan, Arman Sarikyan +3 · 1 citation
Mathematics · Arts and Humanities · #Algebraic Geometry and Number Theory #Caribbean and African Literature and Culture #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2304.11333

Abstract

We prove that for every ε>0, there is a birationally super-rigid Fano variety X such that (1)/(2)\leqslantα(X)\leqslant (1)/(2)+ε. Also we show that for every ε>0, there is a Fano variety X and a finite subgroup G\subsetAut(X) such that X is G-birationally super-rigid, and α_G(X)<ε.

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• A survey on birational Rigidity of threefold Weighted Complete Intersections

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