Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below

By Chen Jiang. 2017

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We show that $\mathbb{Q}$-Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corollary, K-semistable $\mathbb{Q}$-Fano varieties of fixed dimension with anti-canonical degrees bounded from below form a bounded family.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f27560b78ab603b8adad0d0f7dcbea8b3cc80da3