Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below
Chen Jiang
Abstract
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.
Topics & Concepts
Bounded functionFano planeDimension (graph theory)MathematicsCorollaryPure mathematicsCombinatoricsDiscrete mathematicsMathematical analysisGeometry and complex manifoldsAlgebraic Geometry and Number TheoryGeometric Analysis and Curvature Flows