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

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Hauptverfasser: Jiang, Chen, Zou, Yu
Format: Preprint
Veröffentlicht: 2023
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author Jiang, Chen
Zou, Yu
author_facet Jiang, Chen
Zou, Yu
contents For a real number $0<ε<1/3$, we show that the anti-canonical volume of an $ε$-klt Fano $3$-fold is at most $3200/ε^4$ and the order $O(1/ε^4)$ is sharp.
format Preprint
id arxiv_https___arxiv_org_abs_2304_06347
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle An effective upper bound for anti-canonical volumes of singular Fano threefolds
Jiang, Chen
Zou, Yu
Algebraic Geometry
14J45, 14J30, 14J17
For a real number $0<ε<1/3$, we show that the anti-canonical volume of an $ε$-klt Fano $3$-fold is at most $3200/ε^4$ and the order $O(1/ε^4)$ is sharp.
title An effective upper bound for anti-canonical volumes of singular Fano threefolds
topic Algebraic Geometry
14J45, 14J30, 14J17
url https://arxiv.org/abs/2304.06347