Recent Issues
Volume 30, 3 issues
Volume 30
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388
Volume 29, 9 issues
Volume 29
Issue 9, 4477–4945
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
A Ash , D
Mumford , M Rapoport , Y S Tai ,
Smooth
compactifications of locally symmetric varieties ,
Cambridge Univ. Press (2010) MR2590897
2
E Bedford , B A
Taylor , The
Dirichlet problem for a complex Monge–Ampère equation ,
Invent. Math. 37 (1976) 1 MR445006
3
E Bedford , B A
Taylor , A
new capacity for plurisubharmonic functions , Acta Math.
149 (1982) 1 MR674165
4
R J Berman ,
Bergman kernels
and equilibrium measures for line bundles over projective
manifolds , Amer. J. Math. 131 (2009) 1485 MR2559862
5
R Berman , S
Boucksom , Growth of balls of
holomorphic sections and energy at equilibrium , Invent.
Math. 181 (2010) 337 MR2657428
6
R Berman , S
Boucksom , D Witt Nyström , Fekete points and
convergence towards equilibrium measures on complex
manifolds , Acta Math. 207 (2011) 1 MR2863909
7
B Berndtsson ,
Probability
measures associated to geodesics in the space of Kähler
metrics , from: "Algebraic and analytic microlocal
analysis" (editors M Hitrik, D Tamarkin, B Tsygan, S Zelditch),
Springer Proc. Math. Stat. 269, Springer (2018) 395 MR3903321
8
L Bonavero ,
Inégalités de
Morse holomorphes singulières , J. Geom. Anal. 8 (1998)
409 MR1707735
9
A M Botero ,
J I Burgos Gil , D Holmes , R de Jong ,
Chern–Weil and
Hilbert–Samuel formulae for singular Hermitian line
bundles , Doc. Math. 27 (2022) 2563 MR4574244
10
A Botero , J I
Burgos Gil , D Holmes , R de Jong , Rings of
Siegel–Jacobi forms of bounded relative index are not finitely
generated , (2022) arXiv:2203.14583
11
T Bouche , Convergence de la métrique
de Fubini–Study d’un fibré linéaire positif , Ann. Inst.
Fourier (Grenoble) 40 (1990) 117 MR1056777
12
S Boucksom ,
Cônes
positifs des variétés complexes compactes , PhD thesis,
Université Joseph Fourier–Grenoble I (2002)
13
S Boucksom ,
On the
volume of a line bundle , Int. J. Math. 13 (2002) 1043
MR1945706
14
S Boucksom ,
Singularities of plurisubharmonic functions and multiplier
ideals , lecture notes (2017)
15
S Boucksom , C
Favre , M Jonsson , Valuations and
plurisubharmonic singularities , Publ. Res. Inst. Math.
Sci. 44 (2008) 449 MR2426355
16
S Boucksom , P
Eyssidieux , V Guedj , A Zeriahi , Monge–Ampère
equations in big cohomology classes , Acta Math. 205
(2010) 199 MR2746347
17
J Cao , Numerical dimension
and a Kawamata–Viehweg–Nadel-type vanishing theorem on compact
Kähler manifolds , Compos. Math. 150 (2014) 1869
MR3279260
18
D Catlin , The Bergman
kernel and a theorem of Tian , from: "Analysis and
geometry in several complex variables" (editors G Komatsu, M
Kuranishi), Birkhäuser (1999) 1 MR1699887
19
U Cegrell , Pluricomplex
energy , Acta Math. 180 (1998) 187 MR1638768
20
X Chen , S Sun ,
Space
of Kähler metrics, V : Kähler quantization , from:
"Metric and differential geometry" (editors X Dai, X Rong),
Progr. Math. 297, Birkhäuser (2012) 19 MR3220438
21
D Coman , G
Marinescu , On the first order
asymptotics of partial Bergman kernels , Ann. Fac. Sci.
Toulouse Math. 26 (2017) 1193 MR3746626
22
D Coman , G
Marinescu , V A Nguyên , Holomorphic sections
of line bundles vanishing along subvarieties , preprint
(2019) arXiv:1909.00328
23
T Darvas , Geometric
pluripotential theory on Kähler manifolds , from:
"Advances in complex geometry" (editors Y A Rubinstein, B
Shiffman), Contemp. Math. 735, Amer. Math. Soc. (2019) 1
MR3996485
24
T Darvas , M
Xia , The closures of
test configurations and algebraic singularity types ,
Adv. Math. 397 (2022) 108198 MR4366232
25
T Darvas , E Di
Nezza , C H Lu , Monotonicity of
nonpluripolar products and complex Monge–Ampère equations with
prescribed singularity , Anal. PDE 11 (2018) 2049
MR3812864
26
T Darvas , C H
Lu , Y A Rubinstein , Quantization in geometric
pluripotential theory , Comm. Pure Appl. Math. 73 (2020)
1100 MR4078714
27
T Darvas , E Di
Nezza , H C Lu , The metric geometry
of singularity types , J. Reine Angew. Math. 771 (2021)
137 MR4234098
28
J P Demailly ,
Analytic methods in algebraic geometry , 1, International
(2012) MR2978333
29
J P Demailly ,
On the
cohomology of pseudoeffective line bundles , from:
"Complex geometry and dynamics" (editors J E Fornæss, M
Irgens, E F Wold), Abel Symp. 10, Springer (2015) 51
MR3587462
30
J P Demailly ,
Extension of
holomorphic functions and cohomology classes from non reduced
analytic subvarieties , from: "Geometric complex
analysis" (editors J Byun, H R Cho, S Y Kim, K H
Lee, J D Park), Springer Proc. Math. Stat. 246, Springer
(2018) 97 MR3923220
31
J P Demailly ,
M Paun , Numerical
characterization of the Kähler cone of a compact Kähler
manifold , Ann. of Math. 159 (2004) 1247 MR2113021
32
J P Demailly ,
T Peternell , M Schneider , Pseudo-effective
line bundles on compact Kähler manifolds , Int. J. Math.
12 (2001) 689 MR1875649
33
E Di Nezza , S
Trapani , Monge–Ampère
measures on contact sets , Math. Res. Lett. 28 (2021)
1337 MR4471711
34
S K Donaldson ,
Scalar
curvature and projective embeddings, I , J. Differential
Geom. 59 (2001) 479 MR1916953
35
Q Guan , X Zhou ,
A
proof of Demailly’s strong openness conjecture , Ann. of
Math. 182 (2015) 605 MR3418526
36
V Guedj , A
Zeriahi , Intrinsic capacities on
compact Kähler manifolds , J. Geom. Anal. 15 (2005) 607
MR2203165
37
V Guedj , A
Zeriahi , The weighted
Monge–Ampère energy of quasiplurisubharmonic functions ,
J. Funct. Anal. 250 (2007) 442 MR2352488
38
K Kaveh , A G
Khovanskii , Newton–Okounkov
bodies, semigroups of integral points, graded algebras and
intersection theory , Ann. of Math. 176 (2012) 925
MR2950767
39
D Kim , Equivalence of
plurisubharmonic singularities and Siu-type metrics ,
Monatsh. Math. 178 (2015) 85 MR3384891
40
D Kim , H Seo ,
Jumping
numbers of analytic multiplier ideals , Ann. Polon.
Math. 124 (2020) 257 MR4085107
41
Z Lu , On the lower order
terms of the asymptotic expansion of Tian–Yau–Zelditch ,
Amer. J. Math. 122 (2000) 235 MR1749048
42
C H Lu ,
Comparison of
Monge–Ampère capacities , Ann. Polon. Math. 126 (2021)
31 MR4241178
43
C H Lu ,
V D Nguyen , Degenerate complex
Hessian equations on compact Kähler manifolds , Indiana
Univ. Math. J. 64 (2015) 1721 MR3436233
44
X Ma , G
Marinescu , Holomorphic Morse
inequalities and Bergman kernels , 254, Birkhäuser
(2007) MR2339952
45
D H Phong , J
Sturm , The Monge–Ampère
operator and geodesics in the space of Kähler
potentials , Invent. Math. 166 (2006) 125 MR2242635
46
J Ross , M
Singer , Asymptotics of
partial density functions for divisors , J. Geom. Anal.
27 (2017) 1803 MR3667411
47
J Ross , D Witt
Nyström , Analytic test
configurations and geodesic rays , J. Symplectic Geom.
12 (2014) 125 MR3194078
48
J Ross , D Witt
Nyström , Envelopes of positive
metrics with prescribed singularities , Ann. Fac. Sci.
Toulouse Math. 26 (2017) 687 MR3669969
49
B Runge , Theta functions and
Siegel–Jacobi forms , Acta Math. 175 (1995) 165 MR1368246
50
B Shiffman , S
Zelditch , Equilibrium
distribution of zeros of random polynomials , Int. Math.
Res. Not. 2003 (2003) 25 MR1935565
51
J Song , S
Zelditch , Bergman metrics and
geodesics in the space of Kähler metrics on toric
varieties , Anal. PDE 3 (2010) 295 MR2672796
52
J Sun , Asymptotics
of partial density function vanishing along smooth
subvariety , preprint (2020) arXiv:2010.04951
53
G Tian , Kähler metrics on
algebraic manifolds , PhD thesis, Harvard University
(1988) MR2636852
54
G Tian , On a set of
polarized Kähler metrics on algebraic manifolds , J.
Differential Geom. 32 (1990) 99 MR1064867
55
A Trusiani ,
Kähler–Einstein
metrics with prescribed singularities on Fano
manifolds , J. Reine Angew. Math. 793 (2022) 1 MR4513162
56
H Tsuji , Extension
of log pluricanonical forms from subvarieties , preprint
(2007) arXiv:0709.2710
57
D V Vu ,
Convexity of
the class of currents with finite relative energy , Ann.
Polon. Math. 128 (2022) 275 MR4437511
58
D Witt Nyström ,
Monotonicity of
nonpluripolar Monge–Ampère masses , Indiana Univ. Math.
J. 68 (2019) 579 MR3951074
59
M Xia , Integration
by parts formula for non-pluripolar product , preprint
(2019) arXiv:1907.06359
60
M Xia , Partial
Okounkov bodies and Duistermaat–Heckman measures of
non-Archimedean metrics , preprint (2021) arXiv:2112.04290
61
S T Yau ,
Nonlinear analysis in geometry , Enseign. Math. 33
(1987) 109 MR0896385
62
S Zelditch ,
Szegő
kernels and a theorem of Tian , Int. Math. Res. Not.
1998 (1998) 317 MR1616718
63
S Zelditch , P
Zhou , Central limit theorem
for spectral partial Bergman kernels , Geom. Topol. 23
(2019) 1961 MR3981005
64
S Zelditch , P
Zhou , Interface
asymptotics of partial Bergman kernels on S 1 –symmetric Kähler manifolds , J.
Symplectic Geom. 17 (2019) 793 MR4022214
65
K Zhang , A quantization proof of the
uniform Yau–Tian–Donaldson conjecture , J. Eur. Math.
Soc. (2023)