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

IF 1.3 1区数学 Q1 MATHEMATICS

Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2017-05-08 DOI:10.24033/ASENS.2445

Chen Jiang

引用次数: 49

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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具有度和从下有界的不变量的Q-Fano变的有界性

我们证明了$\mathbb{Q}$-Fano具有反正则度的定维变量和从下有界的α不变量构成了一个有界族。作为推论，具有从下有界的反正则度的固定维数的k -半稳定$\mathbb{Q}$-Fano变体形成了一个有界族。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Scientifiques De L Ecole Normale Superieure 数学-数学

CiteScore

3.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Annales scientifiques de l''École normale supérieure were founded in 1864 by Louis Pasteur. The journal dealt with subjects touching on Physics, Chemistry and Natural Sciences. Around the turn of the century, it was decided that the journal should be devoted to Mathematics. Today, the Annales are open to all fields of mathematics. The Editorial Board, with the help of referees, selects articles which are mathematically very substantial. The Journal insists on maintaining a tradition of clarity and rigour in the exposition. The Annales scientifiques de l''École normale supérieures have been published by Gauthier-Villars unto 1997, then by Elsevier from 1999 to 2007. Since January 2008, they are published by the Société Mathématique de France.