Recent Issues
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
V Alexeev , Boundedness and
K 2 for log surfaces , Internat. J.
Math. 5 (1994) 779 MR1298994
2
V Alexeev , Complete moduli in the
presence of semiabelian group action , Ann. of Math. 155
(2002) 611 MR1923963
3
V Alexeev , P
Engel , Compact moduli of K3 surfaces , (2021)
arXiv:2101.12186
4
V Alexeev , P
Engel , A Thompson , Stable pair compactification
of moduli of K3 surfaces of degree 2 , (2019) arXiv:1903.09742
5
V Alexeev , I
Nakamura , On Mumford’s
construction of degenerating abelian varieties , Tohoku
Math. J. 51 (1999) 399 MR1707764
6
V Alexeev , A
Thompson , ADE
surfaces and their moduli , J. Algebraic Geom. 30 (2021)
331 MR4233185
7
K Ascher , D
Bejleri , Log canonical
models of elliptic surfaces , Adv. Math. 320 (2017) 210
MR3709104
8
K Ascher , D
Bejleri , Compact moduli of elliptic K3 surfaces ,
(2019) arXiv:1902.10686
9
K Ascher , D
Bejleri , Moduli of fibered
surface pairs from twisted stable maps , Math. Ann. 374
(2019) 1007 MR3961332
10
K Ascher , D
Bejleri , Moduli of weighted stable
elliptic surfaces and invariance of log plurigenera ,
Proc. Lond. Math. Soc. 122 (2021) 617 MR4258169
11
A Ash , D
Mumford , M Rapoport , Y Tai , Smooth
compactification of locally symmetric varieties , IV, Math.
Sci. Press (1975) MR0457437
12
W L Baily Jr. ,
A Borel , Compactification of
arithmetic quotients of bounded symmetric domains , Ann.
of Math. 84 (1966) 442 MR216035
13
V Batyrev , M
Blume , On generalisations
of Losev–Manin moduli spaces for classical root
systems , Pure Appl. Math. Q. 7 (2011) 1053 MR2918154
14
N Bourbaki , Lie
groups and Lie algebras, Chapters 4–6 , Springer (2002)
MR1890629
15
N Bourbaki , Lie
groups and Lie algebras, Chapters 7–9 , Springer (2005)
MR2109105
16
A Brunyate ,
A modular compactification of the space of elliptic K3
surfaces , PhD thesis, University of Georgia (2015)
17
J Bryan , N C
Leung , The enumerative
geometry of K 3 surfaces and modular forms , J. Amer.
Math. Soc. 13 (2000) 371 MR1750955
18
C Chevalley ,
Invariants of
finite groups generated by reflections , Amer. J. Math.
77 (1955) 778 MR72877
19
A Clingher ,
C F Doran , On K 3 surfaces with
large complex structure , Adv. Math. 215 (2007) 504
MR2355598
20
P Engel , Looijenga’s conjecture
via integral–affine geometry , J. Differential Geom. 109
(2018) 467 MR3825608
21
P Engel , R
Friedman , Smoothings and
rational double point adjacencies for cusp
singularities , J. Differential Geom. 118 (2021) 23
MR4255071
22
R Friedman ,
Global smoothings
of varieties with normal crossings , Ann. of Math. 118
(1983) 75 MR707162
23
R Friedman , On the
geometry of anticanonical pairs , (2015) arXiv:1502.02560
24
R Friedman , R
Miranda , Smoothing cusp
singularities of small length , Math. Ann. 263 (1983)
185 MR698002
25
R Friedman , F
Scattone , Type III degenerations of K 3
surfaces , Invent. Math. 83 (1986) 1 MR813580
26
O Fujino , Semipositivity
theorems for moduli problems , Ann. of Math. 187 (2018)
639 MR3779955
27
M Gross , P
Hacking , S Keel , Mirror symmetry for
log Calabi–Yau surfaces, I , Publ. Math. Inst. Hautes
Études Sci. 122 (2015) 65 MR3415066
28
M Gross , P
Hacking , S Keel , Moduli of surfaces
with an anti-canonical cycle , Compos. Math. 151 (2015)
265 MR3314827
29
M Gross , P
Hacking , S Keel , B Siebert , Theta
functions for K3 surfaces , in preparation
30
M Gross , B
Siebert , Affine
manifolds, log structures, and mirror symmetry , Turkish
J. Math. 27 (2003) 33 MR1975331
31
A Grothendieck ,
Éléments de géométrie algébrique, IV : Étude locale des schémas
et des morphismes de schémas, III , Inst. Hautes Études
Sci. Publ. Math. 28 (1966) 5 MR0217086
32
C D Hacon , J
McKernan , C Xu , Boundedness of moduli of
varieties of general type , J. Eur. Math. Soc. 20 (2018)
865 MR3779687
33
R Hartshorne ,
Algebraic
geometry , 52, Springer (1977) MR0463157
34
G Inchiostro ,
Moduli
of Weierstrass fibrations with marked section , Adv.
Math. 375 (2020) MR4137071
35
K Karu , Minimal
models and boundedness of stable varieties , J. Algebraic
Geom. 9 (2000) 93 MR1713521
36
M Kawakita ,
Inversion
of adjunction on log canonicity , Invent. Math. 167
(2007) 129 MR2264806
37
S Keel , S Mori ,
Quotients by
groupoids , Ann. of Math. 145 (1997) 193 MR1432041
38
J Kollár , Toward
moduli of singular varieties , Compositio Math. 56
(1985) 369 MR814554
39
J Kollár , Projectivity
of complete moduli , J. Differential Geom. 32 (1990) 235
MR1064874
40
J Kollár , Hulls and
husks , (2008) arXiv:0805.0576
41
J Kollár , Singularities of the
minimal model program , 200, Cambridge Univ. Press
(2013) MR3057950
42
J Kollár , N I
Shepherd-Barron , Threefolds and
deformations of surface singularities , Invent. Math. 91
(1988) 299 MR922803
43
M Kontsevich , Y
Soibelman , Affine structures and
non-Archimedean analytic spaces , from: "The unity of
mathematics" (editors P Etingof, V Retakh, I M Singer),
Progr. Math. 244, Birkhäuser (2006) 321 MR2181810
44
S J Kovács , Z
Patakfalvi , Projectivity of the moduli
space of stable log-varieties and subadditivity of log-Kodaira
dimension , J. Amer. Math. Soc. 30 (2017) 959 MR3671934
45
V S Kulikov ,
Degenerations of
K 3
surfaces and Enriques surfaces , Izv. Akad. Nauk SSSR
Ser. Mat. 41 (1977) 1008 MR0506296
46
R Laza ,
Triangulations of the sphere and degenerations of K3
surfaces , (2008) arXiv:0809.0937
47
R Laza , The KSBA compactification
for the moduli space of degree two K 3 pairs ,
J. Eur. Math. Soc. 18 (2016) 225 MR3459951
48
E Looijenga ,
Root systems
and elliptic curves , Invent. Math. 38 (1976/77) 17
MR466134
49
A Losev , Y
Manin , New moduli spaces of
pointed curves and pencils of flat connections ,
Michigan Math. J. 48 (2000) 443 MR1786500
50
R Miranda , The basic theory of
elliptic surfaces , ETS Editrice (1989) MR1078016
51
D Mumford , An
analytic construction of degenerating abelian varieties over
complete rings , Compositio Math. 24 (1972) 239 MR352106
52
Y Namikawa ,
A new
compactification of the Siegel space and degeneration of
Abelian varieties, I , Math. Ann. 221 (1976) 97 MR480537
53
Y Odaka , PL density invariant for
type II degenerating K3 surfaces, moduli compactification and
hyper-Kähler metric , Nagoya Math. J. 247 (2022) 574
MR4480094
54
U Persson , H
Pinkham , Degeneration of surfaces with
trivial canonical bundle , Ann. of Math. 113 (1981) 45
MR604042
55
I I
Pjateckiĭ-Šapiro , I R Šafarevič , Torelli’s theorem for
algebraic surfaces of type K 3 , Izv.
Akad. Nauk SSSR Ser. Mat. 35 (1971) 530 MR0284440
56
W Schmid , Variation of Hodge
structure : the singularities of the period mapping ,
Invent. Math. 22 (1973) 211 MR382272
57
G C Shephard ,
J A Todd , Finite unitary
reflection groups , Canad. J. Math. 6 (1954) 274
MR59914
58
N I
Shepherd-Barron , Extending polarizations on families of
K 3
surfaces , from: "The birational geometry of degenerations"
(editors R Friedman, D R Morrison), Progr. Math. 29,
Birkhäuser (1983) 135 MR690265
59
R Steinberg ,
Regular
elements of semisimple algebraic groups , Inst. Hautes
Études Sci. Publ. Math. 25 (1965) 49 MR180554
60
M Symington ,
Four
dimensions from two in symplectic topology , from:
"Topology and geometry of manifolds" (editors G Matić, C
McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003)
153 MR2024634
61
E Viehweg , Quasi-projective
moduli for polarized manifolds , 30, Springer (1995)
MR1368632
62
È B Vinberg ,
Some
arithmetical discrete groups in Lobačevskiĭ spaces ,
from: "Discrete subgroups of Lie groups and applications to
moduli", Oxford Univ. Press (1975) 323 MR0422505