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Research Article | Open Access

Conic bundle structures on Q -Fano threefolds

Steklov Mathematical Institute of RAS, 8 Gubkina street, Moscow 119991, Russia
HSE University, Laboratory of Algebraic Geometry, 6 Usacheva str., Moscow, 119048, Russia
Faculty of Mechanics and Mathematics, Moscow State University, Russia
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Abstract

We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.

Keywords

conic bundleFano varietysingularityminimal model program

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Electronic Research Archive
Volume 30 Issue 5,
May 2022
Pages 1881-1897
DOI: 10.3934/era.2022095

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Cite this article:
Prokhorov Y. Conic bundle structures on Q -Fano threefolds. Electronic Research Archive, 2022, 30(5): 1881-1897. https://doi.org/10.3934/era.2022095

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Received: 02 November 2021
Revised: 31 January 2022
Accepted: 02 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)