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arXiv · 2301.07462

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

Minzhe Zhu
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Abstract

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.

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Minzhe Zhu. 2023-01-18. On explicit birational geometry for weak Fano varieties and polarised Calabi-Yau varieties. https://arxiv.org/abs/2301.07462

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