Recent Issues
Volume 29, 2 issues
Volume 29
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 Beauville ,
Counting
rational curves on K 3 surfaces , Duke Math. J. 97 (1999) 99
MR1682284
2
K Behrend , B
Fantechi , The intrinsic normal
cone , Invent. Math. 128 (1997) 45 MR1437495
3
J Bryan , N C
Leung , The enumerative
geometry of K 3 surfaces and modular forms , J. Amer.
Math. Soc. 13 (2000) 371 MR1750955
4
J Bryan , G
Oberdieck , R Pandharipande , Q Yin , Curve
counting on abelian surfaces and threefolds , preprint
(2015) arXiv:1506.00841
5
K Chandrasekharan ,
Elliptic
functions , 281, Springer (1985) MR808396
6
X Chen , A simple proof that
rational curves on K 3 are nodal , Math. Ann. 324 (2002) 71
MR1931759
7
C Ciliberto ,
A L Knutsen , On k –gonal loci in Severi varieties on general
K 3
surfaces and rational curves on hyperkähler manifolds ,
J. Math. Pures Appl. 101 (2014) 473 MR3179751
8
M Eichler , D
Zagier , The theory of
Jacobi forms , 55, Birkhäuser (1985) MR781735
9
C Faber , R
Pandharipande , Relative maps and
tautological classes , J. Eur. Math. Soc. 7 (2005) 13
MR2120989
10
C Faber , R
Pandharipande , Tautological and non-tautological
cohomology of the moduli space of curves , from: "Handbook
of moduli, I" (editors G Farkas, I Morrison), Adv. Lect. Math.
24, International Press (2013) 293 MR3184167
11
W Fulton , Intersection
theory , 2, Springer (1998) MR1644323
12
W Fulton , R
Pandharipande , Notes on stable
maps and quantum cohomology , from: "Algebraic geometry,
2" (editors J Kollár, R Lazarsfeld, D R Morrison), Proc.
Sympos. Pure Math. 62, Amer. Math. Soc. (1997) 45 MR1492534
13
T Graber ,
Enumerative geometry of hyperelliptic plane curves , J.
Algebraic Geom. 10 (2001) 725 MR1838977
14
V Gritsenko , K
Hulek , G K Sankaran , Moduli of K 3 surfaces and
irreducible symplectic manifolds , from: "Handbook of
moduli, I" (editors G Farkas, I Morrison), Adv. Lect. Math. 24,
International Press (2013) 459 MR3184170
15
I Grojnowski ,
Instantons and
affine algebras, I : The
Hilbert scheme and vertex operators , Math. Res. Lett. 3
(1996) 275 MR1386846
16
J Harris , D
Mumford , On
the Kodaira dimension of the moduli space of curves ,
Invent. Math. 67 (1982) 23 MR664324
17
K Hori , S Katz ,
A Klemm , R Pandharipande , R Thomas , C
Vafa , R Vakil , E Zaslow , Mirror
symmetry , 1, Amer. Math. Soc. (2003) MR2003030
18
S Katz , A
Klemm , R Pandharipande , On the motivic
stable pairs invariants of K 3
surfaces , from: "K 3 surfaces and
their moduli" (editors C Faber, G Farkas, G van der Geer),
Progr. Math. 315, Birkhäuser (2016) 111 MR3524167
19
T Kawai , K
Yoshioka , String partition
functions and infinite products , Adv. Theor. Math.
Phys. 4 (2000) 397 MR1838446
20
Y H Kiem , J
Li , Localizing
virtual cycles by cosections , J. Amer. Math. Soc. 26
(2013) 1025 MR3073883
21
M Lehn , Chern classes of
tautological sheaves on Hilbert schemes of points on
surfaces , Invent. Math. 136 (1999) 157 MR1681097
22
M Lehn , Lectures on
Hilbert schemes , from: "Algebraic structures and moduli
spaces" (editors J Hurtubise, E Markman), CRM Proc. Lecture
Notes 38, Amer. Math. Soc. (2004) 1 MR2095898
23
M Lehn , C
Sorger , The cup product of
Hilbert schemes for K 3 surfaces , Invent. Math. 152 (2003)
305 MR1974889
24
W p Li , Z
Qin , W Wang , Vertex algebras and the
cohomology ring structure of Hilbert schemes of points on
surfaces , Math. Ann. 324 (2002) 105 MR1931760
25
A Libgober ,
Elliptic genera, real algebraic varieties and quasi-Jacobi
forms , from: "Topology of stratified spaces" (editors G
Friedman, E Hunsicker, A Libgober, L Maxim), Math. Sci. Res.
Inst. Publ. 58, Cambridge Univ. Press (2011) 95 MR2796409
26
D Maulik , A
Oblomkov , Donaldson–Thomas
theory of 𝒜 n ×
P 1 , Compos. Math. 145 (2009) 1249
MR2551996
27
D Maulik , A
Oblomkov , Quantum
cohomology of the Hilbert scheme of points on 𝒜 n –resolutions , J. Amer. Math.
Soc. 22 (2009) 1055 MR2525779
28
D Maulik , A
Okounkov , Quantum groups and quantum cohomology ,
preprint (2012) arXiv:1211.1287
29
D Maulik , R
Pandharipande , Gromov–Witten theory and
Noether–Lefschetz theory , from: "A celebration of algebraic
geometry" (editors B Hassett, J McKernan, J Starr, R Vakil),
Clay Math. Proc. 18, Amer. Math. Soc. (2013) 469 MR3114953
30
D Maulik , R
Pandharipande , R P Thomas , Curves on K 3 surfaces and
modular forms , J. Topol. 3 (2010) 937 MR2746343
31
H Nakajima ,
Heisenberg algebra
and Hilbert schemes of points on projective surfaces ,
Ann. of Math. 145 (1997) 379 MR1441880
32
H Nakajima ,
Lectures on
Hilbert schemes of points on surfaces , 18, Amer. Math.
Soc. (1999) MR1711344
33
G Oberdieck , A
Serre derivative for even weight Jacobi forms , preprint
(2012) arXiv:1209.5628
34
G Oberdieck ,
The
enumerative geometry of the Hilbert schemes of points of a K3
surface , PhD thesis, ETH Zürich (2015)
35
G Oberdieck , R
Pandharipande , Curve counting
on K 3
× E ,
the Igusa cusp form χ 10 , and
descendent integration , from: "K 3 surfaces and
their moduli" (editors C Faber, G Farkas, G van der Geer),
Progr. Math. 315, Birkhäuser (2016) 245 MR3524171
36
A Okounkov , R
Pandharipande , Quantum cohomology
of the Hilbert scheme of points in the plane , Invent.
Math. 179 (2010) 523 MR2587340
37
R Pandharipande ,
R P Thomas , The Katz–Klemm–Vafa
conjecture for K 3 surfaces , Forum Math. Pi 4 (2016)
MR3508473
38
D Pontoni , Quantum
cohomology of Hilb 2 ( ℙ 1
× ℙ 1 ) and
enumerative applications , Trans. Amer. Math. Soc. 359
(2007) 5419 MR2327036
39
J P Pridham ,
Semiregularity as a consequence of Goodwillie’s theorem ,
preprint (2012) arXiv:1208.3111
40
S C F Rose ,
Counting
hyperelliptic curves on an Abelian surface with quasi-modular
forms , Commun. Number Theory Phys. 8 (2014) 243
MR3271176
41
T Schürg , B
Toën , G Vezzosi , Derived algebraic
geometry, determinants of perfect complexes, and applications
to obstruction theories for maps and complexes , J.
Reine Angew. Math. 702 (2015) 1 MR3341464
42
S T Yau , E
Zaslow , BPS states,
string duality, and nodal curves on K 3 ,
Nuclear Phys. B 471 (1996) 503 MR1398633