TY - JOUR
TI - Degeneration of Kähler-Ricci solitons on Fano manifolds
AU - Phong, D.H.
AU - Song, Jian
AU - Sturm, Jacob
TI - Degeneration of Kähler-Ricci solitons on Fano manifolds
AB - 
	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.
VL - 2015
IS - Volume 52
PY - 2015
SN - 0083-4386
C1 - 2084-3828
SP - 29
EP - 43
DO - 10.4467/20843828AM.15.004.3730
UR - https://ejournals.eu/en/journal/universitatis-iagellonicae-acta-mathematica/article/degeneration-of-kahler-ricci-solitons-on-fano-manifolds
KW - Bergman kernel
KW - partial C 0 estimate
KW - conformal transformations
KW - heeger–Colding theory
KW - Perelman pseudo-locality
KW - Kodaira embeddings