Conic bundle structures on $  \mathbb{Q} $-Fano threefolds

Yuri Prokhorov; Yuri Prokhorov

doi:10.3934/era.2022095

Electronic Research Archive

2022, Volume 30, Issue 5: 1881-1897. doi: 10.3934/era.2022095

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Conic bundle structures on $ \mathbb{Q} $-Fano threefolds

Yuri Prokhorov ^{1,2,3
,
,}

1.
Steklov Mathematical Institute of RAS, 8 Gubkina street, Moscow 119991, Russia
2.
HSE University, Laboratory of Algebraic Geometry, 6 Usacheva str., Moscow, 119048, Russia
3.
Faculty of Mechanics and Mathematics, Moscow State University, Russia

Received: 02 November 2021 Revised: 31 January 2022 Accepted: 02 February 2022 Published: 31 March 2022

We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.
- conic bundle,
- Fano variety,
- singularity,
- minimal model program
Citation: Yuri Prokhorov. Conic bundle structures on $ \mathbb{Q} $-Fano threefolds[J]. Electronic Research Archive, 2022, 30(5): 1881-1897. doi: 10.3934/era.2022095

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Abstract

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

References

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