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Degeneration 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.15.004.3730

Authors

,
D.H. Phong
Columbia University
, United States of America
All publications →
,
Jian Song
Rutgers University, Piscataway, NJ, USA
All publications →
Jacob Sturm
Rutgers University, Piscataway, NJ, USA
All publications →

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Titles

Degeneration of Kähler-Ricci solitons on Fano manifolds

Abstract

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

Information: Universitatis Iagellonicae Acta Mathematica, 2015, Volume 52, pp. 29-43

Article type: Original article

Titles:

English:

Degeneration of Kähler-Ricci solitons on Fano manifolds

Polish:

Degeneration of Kähler-Ricci solitons on Fano manifolds

Authors

Columbia University
United States of America

Rutgers University, Piscataway, NJ, USA

Rutgers University, Piscataway, NJ, USA

Published at: 09.12.2015

Article status: Open

Licence: None

Percentage share of authors:

D.H. Phong (Author) - 33%
Jian Song (Author) - 33%
Jacob Sturm (Author) - 34%

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English

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<p> Degeneration of Kähler-Ricci solitons on Fano manifolds</p>