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

Hendrik S\"u{\ss}; Jacob Cable

arxiv: 1705.02920 · v2 · pith:2GQYMVC2new · submitted 2017-05-08 · 🧮 math.AG · math.DG

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

Jacob Cable , Hendrik S\"u{\ss} This is my paper

classification 🧮 math.AG math.DG

keywords kahler-ricciclassificationgorensteinpezzosurfacesadmitadmittingberman-nystrom

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

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

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