TY - JOUR
T1 - Finite time collapsing of the Kähler-Ricci flow on threefolds
AU - Tosatti, Valentino
AU - Zhang, Yuguang
N1 - Publisher Copyright:
© 2018 Scuola Normale Superiore. All rights reserved.
PY - 2018
Y1 - 2018
N2 - We show that if on a compact Kähler threefold there is a solution of the Kähler-Ricci flow which has finite time collapsing, then the manifold admits a Fano fibration. Furthermore, if there is finite time extinction then the manifold is Fano and the initial class is a positive multiple of the first Chern class.
AB - We show that if on a compact Kähler threefold there is a solution of the Kähler-Ricci flow which has finite time collapsing, then the manifold admits a Fano fibration. Furthermore, if there is finite time extinction then the manifold is Fano and the initial class is a positive multiple of the first Chern class.
UR - http://www.scopus.com/inward/record.url?scp=85068356560&partnerID=8YFLogxK
U2 - 10.2422/2036-2145.201508_003
DO - 10.2422/2036-2145.201508_003
M3 - Article
AN - SCOPUS:85068356560
SN - 0391-173X
VL - 18
SP - 105
EP - 118
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
IS - 1
ER -