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Rationality of Q-Fano Threefolds of Large Fano Index

Published online by Cambridge University Press:  25 October 2022

Hamid Abban
Affiliation:
Loughborough University
Gavin Brown
Affiliation:
University of Warwick
Alexander Kasprzyk
Affiliation:
University of Nottingham
Shigefumi Mori
Affiliation:
Kyoto University, Japan
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Summary

We prove that Q-Fano threefolds of Fano index ≥ 8 are rational.

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Chapter
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Recent Developments in Algebraic Geometry
To Miles Reid for his 70th Birthday
, pp. 253 - 274
Publisher: Cambridge University Press
Print publication year: 2022

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