TY - JOUR
TI - Blowup behavior of the Kahler–Ricci flow on Fano manifolds
AU - Tosatti, Valentino
TI - Blowup behavior of the Kahler–Ricci flow on Fano manifolds
AB - 
	We study the blowup behavior at infinity of the normalized Kahler-Ricci flow on a Fano manifold which does not admit Kahler-Einstein metrics. We prove an estimate for the Kahler potential away from a multiplier ideal subscheme, which implies that the volume forms along the flow converge to zero locally uniformly away from the same set. Similar results are also proved for Aubin's continuity method.
VL - 2012
IS - Tom 50
PY - 2013
SN - 0083-4386
C1 - 2084-3828
SP - 117
EP - 126
DO - 10.4467/20843828AM.12.003.1127
UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/blowup-behavior-of-the-kahler-ricci-flow-on-fano-manifolds
KW - Kahler–Ricci flow
KW - Kahler–Einstein metric
KW - multiplier ideal sheaf
KW - continuity method