A note on families of K-semistable log-Fano pairs
Autor: | Codogni, Giulio, Patakfalvi, Zsolt |
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Rok vydání: | 2021 |
Předmět: | |
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 |
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