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On the birational unboundedness of higher dimensional \({\mathbb{Q}}\)-Fano varieties

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We show that the family of (\({\mathbb{Q}}\)-factorial and log terminal) \({\mathbb{Q}}\)-Fano n-folds with Picard number one is birationally unbounded for n ≥ 6.

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  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Takuzo Okada

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  1. Takuzo Okada
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Correspondence to Takuzo Okada.

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T. Okada is partially supported by JSPS Research Fellowships for Young Scientists.

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Okada, T. On the birational unboundedness of higher dimensional \({\mathbb{Q}}\)-Fano varieties. Math. Ann. 345, 195–212 (2009). https://doi.org/10.1007/s00208-009-0351-7

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  • DOI: https://doi.org/10.1007/s00208-009-0351-7

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