K-stability of Fano threefolds of rank 2 and degree 14 as double covers

Yuchen Liu

doi:10.1007/s00209-022-03192-4

K-stability of Fano threefolds of rank 2 and degree 14 as double covers

Yuchen Liu^*

^*Corresponding author for this work

Mathematics

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

7 Scopus citations

Abstract

We prove that every smooth Fano threefold from the family No̲2.8 is K-stable. Such a Fano threefold is a double cover of the blow-up of P³ at one point branched along an anti-canonical divisor.

Original language	English (US)
Article number	38
Journal	Mathematische Zeitschrift
Volume	303
Issue number	2
DOIs	https://doi.org/10.1007/s00209-022-03192-4
State	Published - Feb 2023

Funding

I would like to thank Hamid Abban, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Andrea Petracci, Chenyang Xu, and Ziquan Zhuang for helpful discussions and comments. The author is partially supported by NSF Grant DMS-2148266 (formerly DMS-2001317).

ASJC Scopus subject areas

General Mathematics

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title = "K-stability of Fano threefolds of rank 2 and degree 14 as double covers",

abstract = "We prove that every smooth Fano threefold from the family No̲2.8 is K-stable. Such a Fano threefold is a double cover of the blow-up of P3 at one point branched along an anti-canonical divisor.",

author = "Yuchen Liu",

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K-stability of Fano threefolds of rank 2 and degree 14 as double covers

Abstract

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