A note on families of K-semistable log-Fano pairs

Autor:	Codogni, Giulio, Patakfalvi, Zsolt
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry 14J45 14J10 14D20 14D06
Zdroj:	In proceeding: Cheltsov, I., Chen, X., Katzarkov, L., Park, J. (eds) Birational Geometry, K\"ahler--Einstein Metrics and Degenerations, 2019, Springer Proceedings in Mathematics \& Statistics, vol 409, page 195--203
Druh dokumentu:	Working Paper
Popis:	In this short note, we give an alternative proof of the semipositivity of the Chow-Mumford line bundle for families of K-semistable log-Fano pairs, and of the nefness threeshold for the log-anti-canonical line bundle on families of K-stable log Fano pairs. We also prove a bound on the multiplicity of fibers for families of K-semistable log Fano varieties, which to the best of our knowledge is new. Comment: comments are welcomed
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.07902 Zobrazit plný text záznamu View this record from Arxiv