%0 Journal Article
%T Degeneration of Kähler-Ricci solitons on Fano manifolds
%A Phong, D.H.
%A Song, Jian
%A Sturm, Jacob
%J Universitatis Iagellonicae Acta Mathematica
%V 2015
%R 10.4467/20843828AM.15.004.3730
%N Volume 52
%P 29-43
%K Bergman kernel, partial C 0 estimate, conformal transformations, heeger–Colding theory, Perelman pseudo-locality, Kodaira embeddings
%@ 0083-4386
%D 2015
%U https://ejournals.eu/en/journal/universitatis-iagellonicae-acta-mathematica/article/degeneration-of-kahler-ricci-solitons-on-fano-manifolds
%X 
	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.