Recent Issues
Volume 28, 7 issues
Volume 28
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
V Ancona , G
Tomassini , Modifications
analytiques , 943, Springer (1982) MR673560
2
M Artin , Algebraization of formal
moduli, II : Existence of modifications , Ann. of Math.
91 (1970) 88 MR260747
3
S Bando , Y T
Siu , Stable sheaves and
Einstein–Hermitian metrics , from: "Geometry and
analysis on complex manifolds" (editors T Mabuchi, J Noguchi, T
Ochiai), World Sci. (1994) 39 MR1463962
4
D Barlet , Convexité
de l’espace des cycles , Bull. Soc. Math. France 106
(1978) 373 MR518045
5
D Barlet , J
Magnússon , Cycles analytiques complexes, II : L’espace
des cycles , 27, Soc. Math. France (2020) MR4242816
6
P Belmans , A J
de Jong , others , The Stacks project ,
electronic reference (2005–)
7
E Bishop , Conditions for the
analyticity of certain sets , Michigan Math. J. 11
(1964) 289 MR168801
8
N Buchdahl , A
Teleman , M Toma , A continuity theorem for
families of sheaves on complex surfaces , J. Topol. 10
(2017) 995 MR3743066
9
H Cartan , Quotients
of complex analytic spaces , from: "Contributions to
function theory" (editor K Chandrasekharan), Tata Inst. Fund.
Res. (1960) 1 MR0139769
10
D Chakrabarti ,
M C Shaw , The Cauchy–Riemann
equations on product domains , Math. Ann. 349 (2011) 977
MR2777041
11
X Chen , S Sun ,
Algebraic
tangent cones of reflexive sheaves , Int. Math. Res.
Not. 2020 (2020) 10042 MR4190396
12
X Chen , S Sun ,
Analytic
tangent cones of admissible Hermitian–Yang–Mills
connections , Geom. Topol. (2021) 2061
13
X Chen , S Sun ,
Reflexive sheaves,
Hermitian–Yang–Mills connections, and tangent cones ,
Invent. Math. 225 (2021) 73 MR4270664
14
G D
Daskalopoulos , R A Wentworth , Convergence properties
of the Yang–Mills flow on Kähler surfaces , J. Reine
Angew. Math. 575 (2004) 69 MR2097548
15
I Dolgachev ,
Lectures
on invariant theory , 296, Cambridge Univ. Press (2003)
MR2004511
16
S K Donaldson ,
Anti
self-dual Yang–Mills connections over complex algebraic
surfaces and stable vector bundles , Proc. Lond. Math.
Soc. 50 (1985) 1 MR765366
17
S K Donaldson ,
Connections,
cohomology and the intersection forms of 4 –manifolds , J. Differential Geom. 24
(1986) 275 MR868974
18
S K Donaldson ,
Infinite
determinants, stable bundles and curvature , Duke Math.
J. 54 (1987) 231 MR885784
19
S K Donaldson ,
Compactification and
completion of Yang–Mills moduli spaces , from:
"Differential geometry" (editors F J Carreras, O
Gil-Medrano, A M Naveira), Lecture Notes in Math. 1410,
Springer (1989) 145 MR1034277
20
S K Donaldson ,
Polynomial
invariants for smooth four-manifolds , Topology 29
(1990) 257 MR1066174
21
S K Donaldson ,
P B Kronheimer , The geometry of
four-manifolds , Oxford Univ. Press (1990) MR1079726
22
S Donaldson , E
Segal , Gauge theory in
higher dimensions, II , from: "Geometry of special
holonomy and related topics" (editors N C Leung, S T
Yau), Surv. Differential Geom. 16, International (2011) 1
MR2893675
23
G Ellingsrud , M
Lehn , Irreducibility of the
punctual quotient scheme of a surface , Ark. Mat. 37
(1999) 245 MR1714770
24
G B Folland ,
J J Kohn , The Neumann problem for
the Cauchy–Riemann complex , 75, Princeton Univ. Press
(1972) MR0461588
25
A Fujiki , G
Schumacher , The moduli space of
Hermite–Einstein bundles on a compact Kähler manifold ,
Proc. Japan Acad. Ser. A Math. Sci. 63 (1987) 69 MR894698
26
W Fulton , Intersection
theory , 2, Springer (1984) MR732620
27
D Gieseker ,
On the moduli of
vector bundles on an algebraic surface , Ann. of Math.
106 (1977) 45 MR466475
28
D Gilbarg , N S
Trudinger , Elliptic partial
differential equations of second order , 224, Springer
(1983) MR737190
29
D Greb , S
Kebekus , T Peternell , Étale fundamental
groups of Kawamata log terminal spaces, flat sheaves, and
quotients of abelian varieties , Duke Math. J. 165
(2016) 1965 MR3522654
30
D Greb , J Ross ,
M Toma , Moduli of vector
bundles on higher-dimensional base manifolds: construction and
variation , Int. J. Math. 27 (2016) MR3605660
31
D Greb , M Toma ,
Compact
moduli spaces for slope-semistable sheaves , Algebr.
Geom. 4 (2017) 40 MR3592465
32
A Grothendieck ,
Techniques de
construction et théorèmes d’existence en géométrie algébrique,
IV : Les schémas de Hilbert , from: "Séminaire Bourbaki,
1960/1961", Benjamin (1966) MR1611822
33
L Hörmander ,
L 2
estimates and existence theorems for the ∂
operator , Acta Math. 113 (1965) 89 MR179443
34
D Huybrechts , M
Lehn , The geometry of
moduli spaces of sheaves , Cambridge Univ. Press (2010)
MR2665168
35
S Kobayashi ,
Differential
geometry of complex vector bundles , 15, Princeton Univ.
Press (1987) MR909698
36
J Kollár , Quotients
by finite equivalence relations , from: "Current
developments in algebraic geometry" (editors L Caporaso, J
McKernan, M Mustaţă, M Popa), Math. Sci. Res. Inst. Publ. 59,
Cambridge Univ. Press (2012) 227 MR2931872
37
A Langer , Semistable
sheaves in positive characteristic , Ann. of Math. 159
(2004) 251 MR2051393
38
J Le Potier ,
Fibré
déterminant et courbes de saut sur les surfaces
algébriques , from: "Complex projective geometry"
(editors G Ellingsrud, C Peskine, G Sacchiero, S A
Strømme), Lond. Math. Soc. Lect. Note Ser. 179, Cambridge Univ.
Press (1992) 213 MR1201385
39
J Li , Algebraic geometric
interpretation of Donaldson’s polynomial invariants , J.
Differential Geom. 37 (1993) 417 MR1205451
40
M Lübke , C
Okonek , Moduli spaces of simple
bundles and Hermitian–Einstein connections , Math. Ann.
276 (1987) 663 MR879544
41
M Lübke , A
Teleman , The
Kobayashi–Hitchin correspondence , World Sci. (1995)
MR1370660
42
M Maruyama ,
Openness of
a family of torsion free sheaves , J. Math. Kyoto Univ.
16 (1976) 627 MR429899
43
M Maruyama ,
On
boundedness of families of torsion free sheaves , J.
Math. Kyoto Univ. 21 (1981) 673 MR637512
44
V B Mehta , A
Ramanathan , Semistable sheaves on
projective varieties and their restriction to curves ,
Math. Ann. 258 (1982) 213 MR649194
45
K Miyajima ,
Kuranishi
family of vector bundles and algebraic description of the
moduli space of Einstein–Hermitian connections , Publ.
Res. Inst. Math. Sci. 25 (1989) 301 MR1003790
46
J W Morgan ,
Comparison of
the Donaldson polynomial invariants with their
algebro-geometric analogues , Topology 32 (1993) 449
MR1231956
47
A Naber , D
Valtorta , Energy identity
for stationary Yang Mills , Invent. Math. 216 (2019) 847
MR3955711
48
H Nakajima ,
Compactness
of the moduli space of Yang–Mills connections in higher
dimensions , J. Math. Soc. Japan 40 (1988) 383 MR945342
49
C Okonek , M
Schneider , H Spindler , Vector bundles on
complex projective spaces , 3, Birkhäuser (1980)
MR561910
50
M Pavel , Moduli
spaces of slope-semistable pure sheaves , preprint (2021)
arXiv:2105.09395
51
S Sedlacek ,
A direct method
for minimizing the Yang–Mills functional over 4 –manifolds , Comm. Math. Phys. 86
(1982) 515 MR679200
52
M C Shaw ,
Global solvability
and regularity for ∂ on an annulus between two weakly
pseudoconvex domains , Trans. Amer. Math. Soc. 291
(1985) 255 MR797058
53
M C Shaw ,
The
closed range property for ∂ on domains with pseudoconcave
boundary , from: "Complex analysis" (editors P Ebenfelt,
N Hungerbühler, J J Kohn, N Mok, E J Straube),
Birkhäuser (2010) 307 MR2885124
54
B Sibley , Asymptotics of the
Yang–Mills flow for holomorphic vector bundles over Kähler
manifolds : the canonical structure of the limit , J.
Reine Angew. Math. 706 (2015) 123 MR3393366
55
B Sibley , R A
Wentworth , Analytic cycles,
Bott–Chern forms, and singular sets for the Yang–Mills flow on
Kähler manifolds , Adv. Math. 279 (2015) 501 MR3345190
56
T Tao , G Tian ,
A
singularity removal theorem for Yang–Mills fields in higher
dimensions , J. Amer. Math. Soc. 17 (2004) 557 MR2053951
57
G Tian , Gauge theory and calibrated
geometry, I , Ann. of Math. 151 (2000) 193 MR1745014
58
G Tian , B Yang ,
Compactification of the
moduli spaces of vortices and coupled vortices , J.
Reine Angew. Math. 553 (2002) 17 MR1944806
59
K Uhlenbeck , A
priori estimates for Yang–Mills fields , unpublished
manuscript
60
K K Uhlenbeck ,
Connections
with L p bounds on curvature , Comm.
Math. Phys. 83 (1982) 31 MR648356
61
K K Uhlenbeck ,
Removable
singularities in Yang–Mills fields , Comm. Math. Phys.
83 (1982) 11 MR648355
62
K Uhlenbeck ,
S T Yau , On the existence of
Hermitian–Yang–Mills connections in stable vector
bundles , Comm. Pure Appl. Math. 39 (1986) MR861491
63
K Wehrheim ,
Uhlenbeck
compactness , Eur. Math. Soc. (2004) MR2030823
64
B Yang , The uniqueness
of tangent cones for Yang–Mills connections with isolated
singularities , Adv. Math. 180 (2003) 648 MR2020554