Rationality of Q-Fano Threefolds of Large Fano Index

DOI10.1017/9781009180849.009zbMATH Open1524.14108arXiv1903.07105OpenAlexW4307182776MaRDI QIDQ6070924

Yuri Prokhorov

Publication date: 24 November 2023

Published in: Recent Developments in Algebraic Geometry (Search for Journal in Brave)

Abstract: We prove that $mathbbQ$-Fano threefolds of Fano index $ge8$ are rational.

Full work available at URL: https://arxiv.org/abs/1903.07105

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

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