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1
R J Berman , D
Witt Nyström , Complex optimal transport and the
pluripotential theory of Kähler–Ricci solitons , preprint
(2014) arXiv:1401.8264
2
E Calabi , X X
Chen , The space of Kähler
metrics, II , J. Differential Geom. 61 (2002) 173
MR1969662
3
X Chen , S
Donaldson , S Sun , Kähler–Einstein
metrics on Fano manifolds, I : Approximation of metrics with
cone singularities , J. Amer. Math. Soc. 28 (2015) 183
MR3264766
4
X Chen , S
Donaldson , S Sun , Kähler–Einstein
metrics on Fano manifolds, II : Limits with cone angle less
than 2 π , J. Amer. Math. Soc. 28 (2015) 199
MR3264767
5
X Chen , S
Donaldson , S Sun , Kähler–Einstein
metrics on Fano manifolds, III : Limits as cone angle
approaches 2 π and completion of the main proof , J.
Amer. Math. Soc. 28 (2015) 235 MR3264768
6
X X Chen ,
W Y He , On the Calabi
flow , Amer. J. Math. 130 (2008) 539 MR2405167
7
X Chen , W He ,
The
Calabi flow on Kähler surfaces with bounded Sobolev constant,
I , Math. Ann. 354 (2012) 227 MR2957626
8
X Chen , S Sun ,
Calabi
flow, geodesic rays, and uniqueness of constant scalar
curvature Kähler metrics , Ann. of Math. 180 (2014) 407
MR3224716
9
X Chen , B Wang ,
Space of Ricci
flows, I , Comm. Pure Appl. Math. 65 (2012) 1399
MR2957704
10
X Chen , B Wang ,
The Kähler Ricci
flow on Fano manifolds, I , J. Eur. Math. Soc. 14 (2012)
2001 MR2984594
11
X Chen , B Wang ,
Space of Ricci
flows, II, A : Moduli of singular Calabi–Yau spaces ,
Forum Math. Sigma 5 (2017) MR3739253
12
X X Chen , B
Wang , Space of Ricci flows, II, B: Weak compactness of
the flow ,
13
T Darvas , The Mabuchi completion
of the space of Kähler potentials , Amer. J. Math. 139
(2017) 1275 MR3702499
14
T Darvas , W He ,
Geodesic rays
and Kähler–Ricci trajectories on Fano manifolds , Trans.
Amer. Math. Soc. 369 (2017) 5069 MR3632560
15
V Datar , G
Székelyhidi , Kähler–Einstein
metrics along the smooth continuity method , Geom.
Funct. Anal. 26 (2016) 975 MR3558304
16
S K Donaldson ,
Scalar
curvature and stability of toric varieties , J.
Differential Geom. 62 (2002) 289 MR1988506
17
S K Donaldson ,
Lower
bounds on the Calabi functional , J. Differential Geom.
70 (2005) 453 MR2192937
18
S K Donaldson ,
Kähler
metrics with cone singularities along a divisor , from:
"Essays in mathematics and its applications" (editors P M
Pardalos, T M Rassias), Springer (2012) 49 MR2975584
19
S K Donaldson ,
Stability,
birational transformations and the Kahler–Einstein
problem , from: "Surveys in differential geometry"
(editors H D Cao, S T Yau), Surv. Differ. Geom. 17,
International (2012) 203 MR3076062
20
S Donaldson , S
Sun , Gromov–Hausdorff
limits of Kähler manifolds and algebraic geometry , Acta
Math. 213 (2014) 63 MR3261011
21
S Donaldson , S
Sun , Gromov–Hausdorff
limits of Kähler manifolds and algebraic geometry, II ,
J. Differential Geom. 107 (2017) 327 MR3707646
22
R Feng , H
Huang , The global
existence and convergence of the Calabi flow on ℂ n ∕ ℤ n
+ i ℤ n , J. Funct. Anal. 263 (2012)
1129 MR2927407
23
A Futaki , T
Mabuchi , Bilinear forms and
extremal Kähler vector fields associated with Kähler
classes , Math. Ann. 301 (1995) 199 MR1314584
24
V Georgoulas ,
J W Robbin , D A Salamon , The
moment-weight inequality and the Hilbert–Mumford criterion ,
preprint (2013) arXiv:1311.0410
25
U Görtz , T
Wedhorn , Algebraic geometry,
I : Schemes with examples and exercises , Vieweg +
Teubner (2010) MR2675155
26
W He , On the
convergence of the Calabi flow , Proc. Amer. Math. Soc.
143 (2015) 1273 MR3293741
27
H Li , B Wang ,
K Zheng , Regularity scales
and convergence of the Calabi flow , To appear in J.
Geom. Anal. (2017)
28
S T Paul ,
Hyperdiscriminant
polytopes, Chow polytopes, and Mabuchi energy
asymptotics , Ann. of Math. 175 (2012) 255 MR2874643
29
S T Paul , A
numerical criterion for K–energy maps of algebraic
manifolds , preprint (2012) arXiv:1210.0924
30
S T Paul ,
Stable pairs and coercive estimates for the Mabuchi
functional , preprint (2013) arXiv:1308.4377
31
D H Phong , N
Sesum , J Sturm , Multiplier ideal
sheaves and the Kähler–Ricci flow , Comm. Anal. Geom. 15
(2007) 613 MR2379807
32
N Sesum , G
Tian , Bounding scalar
curvature and diameter along the Kähler Ricci flow (after
Perelman) , J. Inst. Math. Jussieu 7 (2008) 575 MR2427424
33
J Streets , Long time existence
of minimizing movement solutions of Calabi flow , Adv.
Math. 259 (2014) 688 MR3197669
34
S Sun , Y Wang ,
On the
Kähler–Ricci flow near a Kähler–Einstein metric , J.
Reine Angew. Math. 699 (2015) 143 MR3305923
35
G Székelyhidi ,
Extremal
metrics and K –stability ,
Bull. Lond. Math. Soc. 39 (2007) 76 MR2303522
36
G Székelyhidi ,
The
Kähler–Ricci flow and K –polystability , Amer. J. Math. 132
(2010) 1077 MR2663648
37
G Székelyhidi ,
Filtrations and
test-configurations , Math. Ann. 362 (2015) 451 MR3343885
38
G Székelyhidi ,
The partial
C 0 –estimate along the continuity
method , J. Amer. Math. Soc. 29 (2016) 537 MR3454382
39
G Tian , Kähler–Einstein metrics
with positive scalar curvature , Invent. Math. 130
(1997) 1 MR1471884
40
G Tian , Z
Zhang , Regularity of
Kähler–Ricci flows on Fano manifolds , Acta Math. 216
(2016) 127 MR3508220
41
G Tian , X Zhu ,
A new
holomorphic invariant and uniqueness of Kähler–Ricci
solitons , Comment. Math. Helv. 77 (2002) 297 MR1915043
42
V Tosatti , Kähler–Ricci flow on
stable Fano manifolds , J. Reine Angew. Math. 640 (2010)
67 MR2629688
43
V Tosatti , B
Weinkove , The Calabi flow
with small initial energy , Math. Res. Lett. 14 (2007)
1033 MR2357473
44
D Witt Nyström ,
Test
configurations and Okounkov bodies , Compos. Math. 148
(2012) 1736 MR2999302
45
S T Yau , Open
problems in geometry , from: "Differential geometry: partial
differential equations on manifolds" (editor R Greene), Proc.
Sympos. Pure Math. 54, Amer. Math. Soc. (1993) 1 MR1216573