@article{b93c7f8d-1e72-4b85-800a-7e817a490c1b,
author = {D.H. Phong, Jian Song, Jacob Sturm},
title = {Degeneration of Kähler-Ricci solitons on Fano manifolds},
journal = {Universitatis Iagellonicae Acta Mathematica},
volume = {2015},
number = {Volume 52},
year = {2015},
issn = {0083-4386},
pages = {29-43},keywords = {Bergman kernel; partial C 0 estimate; conformal transformations; heeger–Colding theory; Perelman pseudo-locality; Kodaira embeddings},
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.},
doi = {10.4467/20843828AM.15.004.3730},
url = {https://ejournals.eu/en/journal/universitatis-iagellonicae-acta-mathematica/article/degeneration-of-kahler-ricci-solitons-on-fano-manifolds}
}