On explicit birational geometry for weak Fano varieties and polarised Calabi-Yau varieties

Autor: Zhu, Minzhe
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Given a natural number $l$ and a weak Fano $n$-fold $X$ with $\operatorname{dim}\overline{\varphi_{-lK_X}(X)}\geq n-1$, we study the lower bound of the anti-canonical volume and the upper bound of the anti-canonical stability index. The method can also be used to give similar bounds for polarised Calabi-Yau varieties.
Comment: 14 pages
Databáze: arXiv