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

Chen Jiang

doi:10.24033/asens.2445

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

Algebraic Geometry 2021-01-22 v4 Differential Geometry

Authors: Chen Jiang

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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.

Keywords

Q-Fano varieties boundedness anti-canonical degree alpha-invariant K-semistability bounded family

Cite

@article{arxiv.1705.02740,
  title  = {Boundedness of $\mathbb{Q}$-Fano varieties with degrees and alpha-invariants bounded from below},
  author = {Chen Jiang},
  journal= {arXiv preprint arXiv:1705.02740},
  year   = {2021}
}

Comments

11 pages, comments are welcome; v2: typos corrected, examples and references added; v3: 12 pages, introduction modified; final version, to appear in Annales scientifiques de l'ENS

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

Abstract

Keywords

Cite

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