Fano threefolds with infinite automorphism groups

Пржиялковский, Виктор Владимирович; Przyjalkowski, Victor; Cheltsov, Ivan; Shramov, Constantin

doi:10.4213/im8834

Известия Российской академии наук. Серия математическая

2019

DOI: 10.4213/im8834

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Fano threefolds with infinite automorphism groups

Виктор Владимирович Пржиялковский¹,

Victor Przyjalkowski

Ivan Cheltsov

et al.

Abstract: Мы классифицируем гладкие трехмерные многообразия Фано с бесконечными группами автоморфизмов. Библиография: 55 наименований.

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Cited by 10 publications

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“…By Proposition 5.1 the general member of the family of MM 2−10 is K-polystable. Since it has finite automorphism group [57], it is K-stable.…”

mentioning

confidence: 99%

On toric geometry and K-stability of Fano varieties

Kaloghiros

Petracci

2021

Trans. Amer. Math. Soc. Ser. B

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We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stability of Fano varieties. First, we present two examples of K-polystable toric Fano 3 3 -fold with obstructed deformations. In one case, the K-moduli spaces and stacks are reducible near the closed point associated to the toric Fano 3 3 -fold, while in the other they are non-reduced near the closed point associated to the toric Fano 3 3 -fold. Second, we study K-stability of the general members of two deformation families of smooth Fano 3 3 -folds by building degenerations to K-polystable toric Fano 3 3 -folds.

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“…By Proposition 5.1 the general member of the family of MM 2−10 is K-polystable. Since it has finite automorphism group [57], it is K-stable.…”

mentioning

confidence: 99%

On toric geometry and K-stability of Fano varieties

Kaloghiros

Petracci

2021

Trans. Amer. Math. Soc. Ser. B

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Polyvector fields for Fano 3-folds

2023

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A Note on Kähler–Ricci Flow on Fano Threefolds

Miao,

Tian

2023

Peking Math J

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Fano threefolds with infinite automorphism groups

Abstract: Мы классифицируем гладкие трехмерные многообразия Фано с бесконечными группами автоморфизмов. Библиография: 55 наименований.

Cited by 10 publications

References 50 publications

On toric geometry and K-stability of Fano varieties

On toric geometry and K-stability of Fano varieties

Polyvector fields for Fano 3-folds

A Note on Kähler–Ricci Flow on Fano Threefolds

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