Recent Issues
Volume 29, 1 issue
Volume 29, 1 issue
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
D Abramovich , J
Wang , Equivariant
resolution of singularities in characteristic 0 , Math. Res. Lett. 4 (1997) 427
MR1453072
2
I V Arzhantsev ,
S A Gaĭfullin , Cox rings, semigroups, and
automorphisms of affine varieties , Mat. Sb. 201 (2010)
3 MR2641086
3
P Belmans , A J
de Jong , others , The Stacks project ,
electronic reference (2005–)
4
C Birkar , Anti-pluricanonical
systems on Fano varieties , Ann. of Math. 190 (2019) 345
MR3997127
5
C Birkar , Singularities of
linear systems and boundedness of Fano varieties , Ann.
of Math. 193 (2021) 347 MR4224714
6
C Birkar , P
Cascini , C D Hacon , J McKernan ,
Existence of
minimal models for varieties of log general type , J.
Amer. Math. Soc. 23 (2010) 405 MR2601039
7
L Braun , The local
fundamental group of a Kawamata log terminal singularity is
finite , Invent. Math. 226 (2021) 845 MR4337973
8
F Campana , Orbifoldes
géométriques spéciales et classification biméromorphe des
variétés kählériennes compactes , J. Inst. Math. Jussieu
10 (2011) 809 MR2831280
9
M J Collins ,
On Jordan’s
theorem for complex linear groups , J. Group Theory 10
(2007) 411 MR2334748
10
D A Cox ,
J B Little , H K Schenck , Toric varieties , 124,
Amer. Math. Soc. (2011) MR2810322
11
A H Durfee ,
Neighborhoods of
algebraic sets , Trans. Amer. Math. Soc. 276 (1983) 517
MR688959
12
T de Fernex , J
Kollár , C Xu , The dual complex of
singularities , from: "Higher dimensional algebraic
geometry—in honour of Professor Yujiro Kawamata’s sixtieth
birthday" (editors K Oguiso, C Birkar, S Ishii, S Takayama),
Adv. Stud. Pure Math. 74, Math. Soc. Japan (2017) 103 MR3791210
13
H Flenner , Divisorenklassengruppen
quasihomogener Singularitäten , J. Reine Angew. Math.
328 (1981) 128 MR636200
14
H Flenner , M
Zaidenberg , Locally
nilpotent derivations on affine surfaces with a ℂ ∗ –action , Osaka J. Math. 42
(2005) 931 MR2196000
15
R M Fossum ,
The
divisor class group of a Krull domain , 74, Springer
(1973) MR0382254
16
A Fujiki , R
Kobayashi , S Lu , On the fundamental group of
certain open normal surfaces , Saitama Math. J. 11 (1993) 15
MR1259272
17
M Goresky , R
MacPherson , Morse
theory and intersection homology theory , from:
"Analysis and topology on singular spaces, II–III", Astérisque
101–102, Soc. Math. France (1983) 135 MR737930
18
M Goresky , R
MacPherson , Stratified Morse
theory , 14, Springer (1988) MR932724
19
R M Goresky ,
Whitney stratified
chains and cochains , Trans. Amer. Math. Soc. 267 (1981)
175 MR621981
20
A Grassi , J
Kollár , Reduction to
special flips , from: "Flips and abundance for algebraic
threefolds" (editor J Kollár), Astérisque 211, Soc. Math.
France (1992) 193 MR1225842
21
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
22
R V Gurjar ,
D Q Zhang , π 1 of
smooth points of a log del Pezzo surface is finite, I , J.
Math. Sci. Univ. Tokyo 1 (1994) 137 MR1298542
23
R V Gurjar ,
D Q Zhang , π 1 of
smooth points of a log del Pezzo surface is finite, II , J.
Math. Sci. Univ. Tokyo 2 (1995) 165 MR1348027
24
J Han , J Liu ,
V V Shokurov , ACC for minimal log discrepancies
of exceptional singularities , preprint (2019) arXiv:1903.04338
25
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
26
C Jordan , Mémoire
sur une application de la théorie des substitutions à l’étude
des équations différentielles linéaires , Bull. Soc.
Math. France 2 (1873/74) 100 MR1503686
27
M Kapovich , J
Kollár , Fundamental
groups of links of isolated singularities , J. Amer.
Math. Soc. 27 (2014) 929 MR3230815
28
S Keel , J
McKernan , Rational curves on
quasi-projective surfaces , 669, Amer. Math. Soc. (1999)
MR1610249
29
J Kollár , New
examples of terminal and log canonical singularities ,
preprint (2011) arXiv:1107.2864
30
J Kollár , Singularities of the
minimal model program , 200, Cambridge Univ. Press
(2013) MR3057950
31
J Kollár , S
Mori , Birational geometry
of algebraic varieties , 134, Cambridge Univ. Press
(1998) MR1658959
32
A Laface , A
Liendo , J Moraga , The fundamental
group of a log terminal 𝕋 –variety , Eur. J. Math. 5 (2019) 937
MR3993273
33
J Milnor , Singular
points of complex hypersurfaces , 61, Princeton Univ. Press
(1968) MR0239612
34
J Moraga , On
minimal log discrepancies and Kollár components , preprint
(2018) arXiv:1810.10137
35
J Moraga , Fano-type surfaces with
large cyclic automorphisms , Forum Math. Sigma 9 (2021)
MR4298025
36
D Mumford , The topology of normal
singularities of an algebraic surface and a criterion for
simplicity , Inst. Hautes Études Sci. Publ. Math. 9
(1961) 5 MR153682
37
V L Popov ,
On the
Makar–Limanov, Derksen invariants, and finite automorphism
groups of algebraic varieties , from: "Affine algebraic
geometry" (editors D Daigle, R Ganong, M Koras), CRM Proc.
Lecture Notes 54, Amer. Math. Soc. (2011) 289 MR2768646
38
Y G Prokhorov ,
Blow-ups of canonical singularities , from: "Algebra"
(editor Y Bahturin), de Gruyter (2000) 301 MR1754677
39
Y G Prokhorov ,
V V Shokurov , The first fundamental theorem
on complements: from global to local , Izv. Ross. Akad.
Nauk Ser. Mat. 65 (2001) 99 MR1892905
40
Y G Prokhorov ,
C Shramov , Jordan property for
groups of birational selfmaps , Compos. Math. 150 (2014)
2054 MR3292293
41
Y G Prokhorov ,
C Shramov , Jordan property for
Cremona groups , Amer. J. Math. 138 (2016) 403 MR3483470
42
V V Shokurov ,
Three-dimensional log
perestroikas , Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992)
105 MR1162635
43
D E Speyer ,
Equivariant
normalization? , MathOverflow post (2013)
44
U Storch , Über die
Divisorenklassengruppen normaler komplexanalytischer
Algebren , Math. Ann. 183 (1969) 93 MR257070
45
H Sumihiro ,
Equivariant
completion , J. Math. Kyoto Univ. 14 (1974) 1 MR337963
46
Z Tian , C Xu ,
Finiteness of
fundamental groups , Compos. Math. 153 (2017) 257
MR3604863
47
C Xu , Finiteness of
algebraic fundamental groups , Compos. Math. 150 (2014)
409 MR3187625
48
C Xu , Z Zhuang ,
Uniqueness of the
minimizer of the normalized volume function , Camb. J.
Math. 9 (2021) 149 MR4325260