Degeneration of Kähler-Ricci solitons on Fano manifolds
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RIS BIB ENDNOTEDegeneration of Kähler-Ricci solitons on Fano manifolds
Publication date: 09.12.2015
Universitatis Iagellonicae Acta Mathematica, 2015, Volume 52, pp. 29-43
https://doi.org/10.4467/20843828AM.15.004.3730Authors
Degeneration of Kähler-Ricci solitons on Fano manifolds
We consider the space KR(n, F) of Kähler–Ricci solitons on n-dimensional Fano manifolds with Futaki invariant bounded by F. We prove a partial C0 estimate for KR(n, F) as a generalization of the recent work of Donaldson-Sun for Fano Kähler–Einstein manifolds. In particular, any sequence in KR(n, F) has a convergent subsequence in the Gromov- Hausdorff topology to a Kähler–Ricci soliton on a Fano variety with log terminal singularities.
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Information: Universitatis Iagellonicae Acta Mathematica, 2015, Volume 52, pp. 29-43
Article type: Original article
Columbia University
United States of America
Rutgers University, Piscataway, NJ, USA
Rutgers University, Piscataway, NJ, USA
Published at: 09.12.2015
Article status: Open
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