On stable rationality of Fano threefolds and del Pezzo fibrations

Brendan Hassett; Yuri Tschinkel

doi:10.1515/crelle-2016-0058

On stable rationality of Fano threefolds and del Pezzo fibrations

Brendan Hassett, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that very general non-rational Fano threefolds which are not birational to cubic threefolds are not stably rational.

Original language	English (US)
Pages (from-to)	275-287
Number of pages	13
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2019
Issue number	751
DOIs	https://doi.org/10.1515/crelle-2016-0058
State	Published - Jun 1 2019

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "On stable rationality of Fano threefolds and del Pezzo fibrations",

abstract = "We prove that very general non-rational Fano threefolds which are not birational to cubic threefolds are not stably rational.",

author = "Brendan Hassett and Yuri Tschinkel",

note = "Funding Information: The first author was supported by NSF grant 1551514. Publisher Copyright: {\textcopyright} 2019 De Gruyter.",

year = "2019",

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doi = "10.1515/crelle-2016-0058",

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On stable rationality of Fano threefolds and del Pezzo fibrations

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