Kähler-Einstein Fano threefolds of degree 22

Ivan Cheltsov; Constantin Shramov

Kähler-Einstein Fano threefolds of degree 22

Ivan Cheltsov, Constantin Shramov^*

^*Corresponding author for this work

School of Mathematics

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

Abstract

We study the problem of existence of Kähler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.

Original language	English
Journal	Journal of Algebraic Geometry
Publication status	Accepted/In press - 20 Jul 2022

Keywords

math.AG
math.DG
14J45, 32Q20, 14E05

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1803.02774Accepted author manuscript, 444 KB

https://arxiv.org/abs/1803.02774

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title = "K{\"a}hler-Einstein Fano threefolds of degree 22",

abstract = "We study the problem of existence of K{\"a}hler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are K{\"a}hler--Einstein.",

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author = "Ivan Cheltsov and Constantin Shramov",

note = "40 pages",

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language = "English",

journal = "Journal of Algebraic Geometry",

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AU - Shramov, Constantin

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Y1 - 2022/7/20

N2 - We study the problem of existence of Kähler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.

AB - We study the problem of existence of Kähler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.

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KW - math.DG

KW - 14J45, 32Q20, 14E05

M3 - Article

JO - Journal of Algebraic Geometry

JF - Journal of Algebraic Geometry

SN - 1056-3911

ER -

Kähler-Einstein Fano threefolds of degree 22

Abstract

Keywords

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