On the classification of Kähler-Ricci solitons on Gorenstein del Pezzo surfaces

Jacob Cable; Hendrik Süß

doi:10.1007/s40879-017-0204-y

On the classification of Kähler-Ricci solitons on Gorenstein del Pezzo surfaces

Jacob Cable, Hendrik Süß

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

Abstract

We give a classification of all pairs (X, ) of Gorenstein del Pezzo surfaces X and vector fields which are K-stable in the sense of Berman-Witt- Nyström and therefore are expected to admit a Kähler-Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a Kähler-Ricci soliton.

Original language	English
Pages (from-to)	137-161
Journal	European Journal of Mathematics
Volume	4
Issue number	1
Early online date	11 Dec 2017
DOIs	https://doi.org/10.1007/s40879-017-0204-y
Publication status	Published - Mar 2018

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title = "On the classification of K{\"a}hler-Ricci solitons on Gorenstein del Pezzo surfaces",

abstract = "We give a classification of all pairs (X, ) of Gorenstein del Pezzo surfaces X and vector fields which are K-stable in the sense of Berman-Witt- Nystr{\"o}m and therefore are expected to admit a K{\"a}hler-Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a K{\"a}hler-Ricci soliton.",

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AB - We give a classification of all pairs (X, ) of Gorenstein del Pezzo surfaces X and vector fields which are K-stable in the sense of Berman-Witt- Nyström and therefore are expected to admit a Kähler-Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a Kähler-Ricci soliton.

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DO - 10.1007/s40879-017-0204-y

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EP - 161

JO - European Journal of Mathematics

JF - European Journal of Mathematics

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On the classification of Kähler-Ricci solitons on Gorenstein del Pezzo surfaces

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