K-稳定对数 Fanos 的 CM 线丛的正性
代数几何
2022-01-03 v2
摘要
我们证明了与一个 -Gorenstein 对数 Fano 簇族相关联的 Chow-Mumford 线丛的丰大性，该簇族具有极大变异以及一致 K-稳定的几何一般纤维。这一结果将 Codogni 与 Patakfalvi 最近的定理推广到了对数情形。
引用
@article{arxiv.1910.12623,
title = {Positivity of the CM line bundle for K-stable log Fanos},
author = {Quentin Posva},
journal= {arXiv preprint arXiv:1910.12623},
year = {2022}
}
备注
31 pages. Comments are welcome. v2: introduction has been rewritten to reflect recent progress in the field. Final version, to be published in Trans. of the AMS