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arXiv · 1705.02740

Boundedness of $\mathbb{Q}$-Fano varieties with degrees and alpha-invariants bounded from below

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.

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BibTeXRIS

Chen Jiang. 2018-12-18. Boundedness of $\mathbb{Q}$-Fano varieties with degrees and alpha-invariants bounded from below. https://doi.org/10.24033/asens.2445

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