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arXiv · 2304.06347

An effective upper bound for anti-canonical volumes of singular Fano threefolds

Chen Jiang·Yu Zou
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Abstract

For a real number $0<\epsilon<1/3$, we show that the anti-canonical volume of an $\epsilon$-klt Fano $3$-fold is at most $3200/\epsilon^4$ and the order $O(1/\epsilon^4)$ is sharp.

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Chen Jiang, Yu Zou. 2023-04-13. An effective upper bound for anti-canonical volumes of singular Fano threefolds. https://doi.org/10.1017/s1474748024000070

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