反典范次数与 alpha-不变量从下方有界的 $\mathbb{Q}$-Fano 簇的有界性
代数几何
2021-01-22 v4 微分几何
摘要
我们证明了，固定维数且具有从下方有界的反典范次数与 alpha-不变量的 -Fano 簇构成一个有界族。作为推论，固定维数且具有从下方有界的反典范次数的 K-半稳定(K-semistable) -Fano 簇构成一个有界族。
引用
@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}
}
备注
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