-
2
-
-
84956239775
-
On deformation of sheaves
-
I. V. Artamkin, On deformation of sheaves, Math. USSR Izv. 32 (no. 3) (1989), 663-668. MR 89g:14004
-
(1989)
Math. USSR Izv.
, vol.32
, Issue.3
, pp. 663-668
-
-
Artamkin, I.V.1
-
3
-
-
84956239775
-
-
I. V. Artamkin, On deformation of sheaves, Math. USSR Izv. 32 (no. 3) (1989), 663-668. MR 89g:14004
-
MR
, vol.89 G
, pp. 14004
-
-
-
5
-
-
85132543685
-
The Gromov-Witten invariants
-
K. Behrend, The Gromov-Witten invariants, Invent. Math. 127 no. 3 (1997), 601-617. CMP 97:07
-
(1997)
Invent. Math.
, vol.127
, Issue.3
, pp. 601-617
-
-
Behrend, K.1
-
6
-
-
26344444901
-
-
K. Behrend, The Gromov-Witten invariants, Invent. Math. 127 no. 3 (1997), 601-617. CMP 97:07
-
CMP
, vol.97
, pp. 07
-
-
-
7
-
-
0031475399
-
The intrinsic normal cone
-
K. Behrend and B. Fantechi, The intrinsic normal cone, Invent. Math. 128 no. 1 (1997), 45-88. CMP 97:09
-
(1997)
Invent. Math.
, vol.128
, Issue.1
, pp. 45-88
-
-
Behrend, K.1
Fantechi, B.2
-
8
-
-
0031475399
-
-
K. Behrend and B. Fantechi, The intrinsic normal cone, Invent. Math. 128 no. 1 (1997), 45-88. CMP 97:09
-
CMP
, vol.97
, pp. 09
-
-
-
9
-
-
0031586118
-
Quantum Schubert calculus
-
A. Bertram, Quantum Schubert Calculus, Advance in Math. 128 (1997), 289-305. CMP 97:14
-
(1997)
Advance in Math.
, vol.128
, pp. 289-305
-
-
Bertram, A.1
-
10
-
-
0031586118
-
-
A. Bertram, Quantum Schubert Calculus, Advance in Math. 128 (1997), 289-305. CMP 97:14
-
CMP
, vol.97
, pp. 14
-
-
-
11
-
-
0030525856
-
Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
-
A. Bertram, G. Daskalopoulos and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc. 9 no. 2 (1996), 529-571. MR 96f:14066
-
(1996)
J. Amer. Math. Soc.
, vol.9
, Issue.2
, pp. 529-571
-
-
Bertram, A.1
Daskalopoulos, G.2
Wentworth, R.3
-
12
-
-
0030525856
-
-
A. Bertram, G. Daskalopoulos and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc. 9 no. 2 (1996), 529-571. MR 96f:14066
-
MR
, vol.96 F
, pp. 14066
-
-
-
13
-
-
33646938762
-
Quantum cohomology of flag varieties
-
I. Ciocan-Fontanine, Quantum cohomology of flag varieties, Internat. Math. Res. Notices 6 (1995,), 263-277. MR 96h:14071
-
(1995)
Internat. Math. Res. Notices
, vol.6
, pp. 263-277
-
-
Ciocan-Fontanine, I.1
-
14
-
-
33646938762
-
-
I. Ciocan-Fontanine, Quantum cohomology of flag varieties, Internat. Math. Res. Notices 6 (1995,), 263-277. MR 96h:14071
-
MR
, vol.96 H
, pp. 14071
-
-
-
15
-
-
0001954590
-
Quantum cohomology of rational surfaces
-
The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. Van der Geer, eds.)
-
B. Crauder and R. Mirander, Quantum cohomology of rational surfaces, The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. Van der Geer, eds.), Progress in Mathematics 129, 1995, 33-80. MR 96g:14002
-
(1995)
Progress in Mathematics
, vol.129
, pp. 33-80
-
-
Crauder, B.1
Mirander, R.2
-
16
-
-
0040420894
-
-
B. Crauder and R. Mirander, Quantum cohomology of rational surfaces, The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. Van der Geer, eds.), Progress in Mathematics 129, 1995, 33-80. MR 96g:14002
-
MR
, vol.96 G
, pp. 14002
-
-
-
17
-
-
0007464923
-
The irreducibility of the space of curves of given genus
-
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Publ. I.H.E.S. 45 (1969), 101-145. MR 41:6850
-
(1969)
Publ. I.H.E.S.
, vol.45
, pp. 101-145
-
-
Deligne, P.1
Mumford, D.2
-
18
-
-
0039236370
-
-
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus, Publ. I.H.E.S. 45 (1969), 101-145. MR 41:6850
-
MR
, vol.41
, pp. 6850
-
-
-
19
-
-
28744452988
-
Polynomial invariants for smooth four manifolds
-
S. Donaldson, Polynomial invariants for smooth four manifolds, Topology 29 (1990), 257-315. MR 92a:57035
-
(1990)
Topology
, vol.29
, pp. 257-315
-
-
Donaldson, S.1
-
20
-
-
28744452988
-
-
S. Donaldson, Polynomial invariants for smooth four manifolds, Topology 29 (1990), 257-315. MR 92a:57035
-
MR
, vol.92 A
, pp. 57035
-
-
-
21
-
-
0012500864
-
The number of twisted cubic curves on the generic quintic threefold
-
G. Ellingsrud and S. Stromme, The number of twisted cubic curves on the generic quintic threefold, Math. Scand. 76 no. 1 (1995), 5-34. MR 96g:14045
-
(1995)
Math. Scand.
, vol.76
, Issue.1
, pp. 5-34
-
-
Ellingsrud, G.1
Stromme, S.2
-
22
-
-
0039828184
-
-
G. Ellingsrud and S. Stromme, The number of twisted cubic curves on the generic quintic threefold, Math. Scand. 76 no. 1 (1995), 5-34. MR 96g:14045
-
MR
, vol.96 G
, pp. 14045
-
-
-
25
-
-
0039236455
-
-
W. Fulton, Intersection theory, Ergebnisse der Math. und ihrer Grenzgebiete 3. Folge Band 2, 1984. MR 85k:14004
-
MR
, vol.85 K
, pp. 14004
-
-
-
28
-
-
85100672658
-
-
P. Griffiths and J. Harris, Principles of algebraic geometry, John Wiley & Sons, New York, 1978. MR 80b:14001
-
MR
, vol.80 B
, pp. 14001
-
-
-
31
-
-
0001483541
-
Unobstructed deformations - A remark on a paper of Z. Ran
-
Y. Kawamata, Unobstructed deformations - a remark on a paper of Z. Ran, J. Alg. Geom. 1 (1992), 183-190. MR 93e:14016
-
(1992)
J. Alg. Geom.
, vol.1
, pp. 183-190
-
-
Kawamata, Y.1
-
32
-
-
0041014980
-
-
Y. Kawamata, Unobstructed deformations - a remark on a paper of Z. Ran, J. Alg. Geom. 1 (1992), 183-190. MR 93e:14016
-
MR
, vol.93 E
, pp. 14016
-
-
-
33
-
-
0001792752
-
Intersection theory on the moduli space of curves and the matrix Airy function
-
M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992). MR 93e:32027
-
(1992)
Comm. Math. Phys.
, vol.147
-
-
Kontsevich, M.1
-
34
-
-
0001792752
-
-
M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992). MR 93e:32027
-
MR
, vol.93 E
, pp. 32027
-
-
-
35
-
-
0000691174
-
Enumeration of rational curves via torus actions
-
The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), Birkhauser
-
M. Kontsevich, Enumeration of rational curves via torus actions, The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), Progress in Mathematics vol. 129, Birkhauser 1995, 335-368. MR 97d:14077
-
(1995)
Progress in Mathematics
, vol.129
, pp. 335-368
-
-
Kontsevich, M.1
-
36
-
-
0039828179
-
-
M. Kontsevich, Enumeration of rational curves via torus actions, The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), Progress in Mathematics vol. 129, Birkhauser 1995, 335-368. MR 97d:14077
-
MR
, vol.97 D
, pp. 14077
-
-
-
37
-
-
34249763252
-
GW classes, quantum cohomology and enumerative geometry
-
M. Kontsevich and Y. Manin, GW classes, Quantum cohomology and enumerative geometry, Comm. Math. Phys. 164 (1994), 525-562. MR 95i:14049
-
(1994)
Comm. Math. Phys.
, vol.164
, pp. 525-562
-
-
Kontsevich, M.1
Manin, Y.2
-
38
-
-
34249763252
-
-
M. Kontsevich and Y. Manin, GW classes, Quantum cohomology and enumerative geometry, Comm. Math. Phys. 164 (1994), 525-562. MR 95i:14049
-
MR
, vol.95 I
, pp. 14049
-
-
-
39
-
-
0000045315
-
g,n,
-
g,n, Math. Scand. 52 (1983), no.2, 161-199. MR 85d:14038a
-
(1983)
Math. Scand.
, vol.52
, Issue.2
, pp. 161-199
-
-
Knudsen, F.1
-
40
-
-
85087250980
-
-
g,n, Math. Scand. 52 (1983), no.2, 161-199. MR 85d:14038a
-
MR
, vol.85 D
-
-
-
41
-
-
0003253075
-
Formal moduli of algebraic structures
-
Berlin Heidelberg New York, Springer
-
O. A. Laudal, Formal Moduli of Algebraic Structures, Lecture Notes in Mathematics, Vol. 754, Berlin Heidelberg New York, Springer 1979. MR 82h:14009
-
(1979)
Lecture Notes in Mathematics
, vol.754
-
-
Laudal, O.A.1
-
42
-
-
0039828180
-
-
O. A. Laudal, Formal Moduli of Algebraic Structures, Lecture Notes in Mathematics, Vol. 754, Berlin Heidelberg New York, Springer 1979. MR 82h:14009
-
MR
, vol.82 H
, pp. 14009
-
-
-
43
-
-
84972536319
-
Algebraic geometric interpretation of Donaldson's polynomial invariants
-
J. Li, Algebraic geometric interpretation of Donaldson's polynomial invariants, J. Diff. Geom. 37 (1993), 417-466. MR 93m:14007
-
(1993)
J. Diff. Geom.
, vol.37
, pp. 417-466
-
-
Li, J.1
-
44
-
-
84972536319
-
-
J. Li, Algebraic geometric interpretation of Donaldson's polynomial invariants, J. Diff. Geom. 37 (1993), 417-466. MR 93m:14007
-
MR
, vol.93 M
, pp. 14007
-
-
-
45
-
-
0041125352
-
Quantum cohomology of homogeneous manifolds
-
J. Li and G. Tian, Quantum cohomology of homogeneous manifolds, to appear in J. Alg. Geom.
-
J. Alg. Geom.
-
-
Li, J.1
Tian, G.2
-
47
-
-
0003359806
-
Commutative ring theory
-
Cambridge University Press, Cambridge-New York
-
H. Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, 8. Cambridge University Press, Cambridge-New York, 1989. MR 901:13001
-
(1989)
Cambridge Studies in Advanced Mathematics
, vol.8
-
-
Matsumura, H.1
-
48
-
-
0040420897
-
-
H. Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, 8. Cambridge University Press, Cambridge-New York, 1989. MR 901:13001
-
MR
, vol.901
, pp. 13001
-
-
-
49
-
-
38248999873
-
Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues
-
J. Morgan, Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues, Topology 32 (no 3) (1993), 449-488. MR 94m:57066
-
(1993)
Topology
, vol.32
, Issue.3
, pp. 449-488
-
-
Morgan, J.1
-
50
-
-
38248999873
-
-
J. Morgan, Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues, Topology 32 (no 3) (1993), 449-488. MR 94m:57066
-
MR
, vol.94 M
, pp. 57066
-
-
-
51
-
-
0000180610
-
Towards an enumerative geometry of the moduli space of curves
-
D. Mumford, Towards an enumerative geometry of the moduli space of curves, Arithmetic and Geometry II, Progress in Mathematics 36 (1983), 271-326. MR 85j:14046
-
(1983)
Arithmetic and Geometry II, Progress in Mathematics
, vol.36
, pp. 271-326
-
-
Mumford, D.1
-
52
-
-
0039828171
-
-
D. Mumford, Towards an enumerative geometry of the moduli space of curves, Arithmetic and Geometry II, Progress in Mathematics 36 (1983), 271-326. MR 85j:14046
-
MR
, vol.85 J
, pp. 14046
-
-
-
53
-
-
0000350258
-
Deformations of maps
-
Algebraic Curves and Projective Geometry (E. Ballico, C. Ciliberto, eds.)
-
Z. Ran, Deformations of maps, Algebraic Curves and Projective Geometry (E. Ballico, C. Ciliberto, eds.), Lecture Notes in Math., vol. 1389. MR 91f:32021
-
Lecture Notes in Math.
, vol.1389
-
-
Ran, Z.1
-
54
-
-
0041014971
-
-
Z. Ran, Deformations of maps, Algebraic Curves and Projective Geometry (E. Ballico, C. Ciliberto, eds.), Lecture Notes in Math., vol. 1389. MR 91f:32021
-
MR
, vol.91 F
, pp. 32021
-
-
-
55
-
-
0001060689
-
Topological sigma model and Donaldson type invariants in Gromov theory
-
Y. Ruan, Topological Sigma model and Donaldson type invariants in Gromov theory, Duke Math. J. 83 no. 2 (1996), 461-500. MR 97d:58042
-
(1996)
Duke Math. J.
, vol.83
, Issue.2
, pp. 461-500
-
-
Ruan, Y.1
-
56
-
-
0001060689
-
-
Y. Ruan, Topological Sigma model and Donaldson type invariants in Gromov theory, Duke Math. J. 83 no. 2 (1996), 461-500. MR 97d:58042
-
MR
, vol.97 D
, pp. 58042
-
-
-
58
-
-
85087248986
-
-
n, to appear in Trans. Amer. Math. Soc. CMP 97:05
-
CMP
, vol.97
, pp. 05
-
-
-
59
-
-
0029682448
-
A mathematical theory of quantum cohomology
-
Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, J. Diff. Geom. 42 no. 2 (1995), 259-367. MR 96m:58033
-
(1995)
J. Diff. Geom.
, vol.42
, Issue.2
, pp. 259-367
-
-
Ruan, Y.1
Tian, G.2
-
60
-
-
0029682448
-
-
Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, J. Diff. Geom. 42 no. 2 (1995), 259-367. MR 96m:58033
-
MR
, vol.96 M
, pp. 58033
-
-
-
61
-
-
0040420868
-
Higher genus symplectic invariants and sigma model coupled with gravity
-
Y. Ruan and G. Tian, Higher genus symplectic invariants and sigma model coupled with gravity, Turkish J. Math. 20 no. 1 (1996), 75-83. MR 97d:58029
-
(1996)
Turkish J. Math.
, vol.20
, Issue.1
, pp. 75-83
-
-
Ruan, Y.1
Tian, G.2
-
62
-
-
0040420868
-
-
Y. Ruan and G. Tian, Higher genus symplectic invariants and sigma model coupled with gravity, Turkish J. Math. 20 no. 1 (1996), 75-83. MR 97d:58029
-
MR
, vol.97 D
, pp. 58029
-
-
-
65
-
-
0000364967
-
Intersection theory on algebraic stacks and on their moduli spaces
-
A. Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Invent. Math. 97 (1989), 613-670. MR 90k:14004
-
(1989)
Invent. Math.
, vol.97
, pp. 613-670
-
-
Vistoli, A.1
-
66
-
-
0000364967
-
-
A. Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Invent. Math. 97 (1989), 613-670. MR 90k:14004
-
MR
, vol.90 K
, pp. 14004
-
-
-
67
-
-
0003322140
-
A mathematical proof of Aspinwall-Morrison formula
-
C. Voisin, A mathematical proof of Aspinwall-Morrison formula, Compositio Math. 104 no. 2 (1996), 135-151. CMP 97:04
-
(1996)
Compositio Math.
, vol.104
, Issue.2
, pp. 135-151
-
-
Voisin, C.1
-
68
-
-
0003322140
-
-
C. Voisin, A mathematical proof of Aspinwall-Morrison formula, Compositio Math. 104 no. 2 (1996), 135-151. CMP 97:04
-
CMP
, vol.97
, pp. 04
-
-
-
69
-
-
1542511960
-
Topological sigma models
-
E. Witten, Topological sigma models, Comm. Math. Phys. 118 (1988). MR 90b:81080
-
(1988)
Comm. Math. Phys.
, vol.118
-
-
Witten, E.1
-
70
-
-
1542511960
-
-
E. Witten, Topological sigma models, Comm. Math. Phys. 118 (1988). MR 90b:81080
-
MR
, vol.90 B
, pp. 81080
-
-
-
71
-
-
0000910190
-
Two dimensional gravity and intersection theory on moduli space
-
E. Witten, Two dimensional gravity and intersection theory on moduli space, Surveys in Diff. Geom. 1 (1991), 243-310. MR 93e:32028
-
(1991)
Surveys in Diff. Geom.
, vol.1
, pp. 243-310
-
-
Witten, E.1
-
72
-
-
0040420874
-
-
E. Witten, Two dimensional gravity and intersection theory on moduli space, Surveys in Diff. Geom. 1 (1991), 243-310. MR 93e:32028
-
MR
, vol.93 E
, pp. 32028
-
-
|