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On Geometry of Fano Threefold Hypersurfaces

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Rationality of Varieties

Part of the book series: Progress in Mathematics ((PM,volume 342))

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Abstract

We prove that a quasi-smooth Fano threefold hypersurface is birationally rigid if and only if it has Fano index one.

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Correspondence to Hamid Abban .

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© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Abban, H., Cheltsov, I., Park, J. (2021). On Geometry of Fano Threefold Hypersurfaces. In: Farkas, G., van der Geer, G., Shen, M., Taelman, L. (eds) Rationality of Varieties. Progress in Mathematics, vol 342. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-75421-1_1

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