-
1
-
-
0000211725
-
Fourier-Jacobi series
-
Algebraic Groups and Discontinuous Subgroups. eds. A. Borel, G. D. Mostow, Amer. Math. Soc., Providence. Rhode Island
-
1. W. L. Baily. Fourier-Jacobi series, in Algebraic Groups and Discontinuous Subgroups. Proc. Symp. Pure Math. Vol. IX, eds. A. Borel, G. D. Mostow, Amer. Math. Soc., Providence. Rhode Island, 1966, pp. 296-300.
-
(1966)
Proc. Symp. Pure Math.
, vol.9
, pp. 296-300
-
-
Baily, W.L.1
-
2
-
-
0000216149
-
Generalized Kac-Moody algebras
-
2. R. Borcherds, Generalized Kac-Moody algebras, J. Algebra 115 (1988), 501-512.
-
(1988)
J. Algebra
, vol.115
, pp. 501-512
-
-
Borcherds, R.1
-
3
-
-
0010122758
-
The monster Lie algebra
-
3. R. Borcherds. The monster Lie algebra. Adv. Math. 83 (1990), 30-47.
-
(1990)
Adv. Math.
, vol.83
, pp. 30-47
-
-
Borcherds, R.1
-
4
-
-
0040661449
-
The monstrous moonshine and monstrous Lie superalgebras
-
4. R. Borcherds. The monstrous moonshine and monstrous Lie superalgebras, Invent. Math. 109 (1992). 405-444.
-
(1992)
Invent. Math.
, vol.109
, pp. 405-444
-
-
Borcherds, R.1
-
6
-
-
0001504299
-
s+2.2(ℝ) and infinite products
-
s+2.2(ℝ) and infinite products, Invent. Math. 120 (1995), 161-213.
-
(1995)
Invent. Math.
, vol.120
, pp. 161-213
-
-
Borcherds, R.1
-
7
-
-
0030187546
-
The moduli space of Enriques surfaces and the fake monster Lie superalgebra
-
7. R. Borcherds. The moduli space of Enriques surfaces and the fake monster Lie superalgebra. Topology 35(3) (1996), 699-710.
-
(1996)
Topology
, vol.35
, Issue.3
, pp. 699-710
-
-
Borcherds, R.1
-
8
-
-
0031587661
-
Counting dyons in N = 4 string theory
-
hep-th/9607026
-
8. R. Dijkgraaf, E. Verlinde and H. Verlinde. Counting dyons in N = 4 string theory. Nucl. Phys. B484 (1997). 542-561; hep-th/9607026.
-
(1997)
Nucl. Phys.
, vol.B484
, pp. 542-561
-
-
Dijkgraaf, R.1
Verlinde, E.2
Verlinde, H.3
-
9
-
-
0002778926
-
Modular forms and moduli spaces of Abelian and K3 surfaces
-
9. V. A. Gritsenko, Modular forms and moduli spaces of Abelian and K3 surfaces. Algebra i Analyz 6(6) (1994), 65-102; English transl. in St. Petersburg Math. J. 6 (6) (1995). 1179-1208.
-
(1994)
Algebra I Analyz
, vol.6
, Issue.6
, pp. 65-102
-
-
Gritsenko, V.A.1
-
10
-
-
0000034968
-
-
English transl.
-
9. V. A. Gritsenko, Modular forms and moduli spaces of Abelian and K3 surfaces. Algebra i Analyz 6(6) (1994), 65-102; English transl. in St. Petersburg Math. J. 6 (6) (1995). 1179-1208.
-
(1995)
St. Petersburg Math. J.
, vol.6
, Issue.6
, pp. 1179-1208
-
-
-
11
-
-
0002464138
-
Jacobi functions of n-variables
-
10. V. A. Gritsenko, Jacobi functions of n-variables, Zap. Nauk. Sem. LOMI 168 (1988), 32-45; English transl. in J. Soviet Math. 53 (1991), 243-252.
-
(1988)
Zap. Nauk. Sem. LOMI
, vol.168
, pp. 32-45
-
-
Gritsenko, V.A.1
-
12
-
-
0000229564
-
-
English transl.
-
10. V. A. Gritsenko, Jacobi functions of n-variables, Zap. Nauk. Sem. LOMI 168 (1988), 32-45; English transl. in J. Soviet Math. 53 (1991), 243-252.
-
(1991)
J. Soviet Math.
, vol.53
, pp. 243-252
-
-
-
13
-
-
0001754140
-
Arithmetical lifting and its applications
-
Number Theory, ed. S. David, Cambridge Univ. Press
-
11. V. A. Gritsenko, Arithmetical lifting and its applications, in Number Theory, Proc. Paris Seminar 1992-93, ed. S. David, Cambridge Univ. Press, 1995, pp. 103-126.
-
(1995)
Proc. Paris Seminar 1992-93
, pp. 103-126
-
-
Gritsenko, V.A.1
-
14
-
-
84963041950
-
Irrationality of the moduli spaces of polarized abelian surfaces
-
12. V. A. Gritsenko, Irrationality of the moduli spaces of polarized abelian surfaces, Int. Math. Research Notices 6 (1994), 235-243; Abelian Varieties, eds. Barth, Hulek, Lange, de Gruyter, Berlin, 1995, pp. 63-81.
-
(1994)
Int. Math. Research Notices
, vol.6
, pp. 235-243
-
-
Gritsenko, V.A.1
-
15
-
-
84963041950
-
-
eds. Barth, Hulek, Lange, de Gruyter, Berlin
-
12. V. A. Gritsenko, Irrationality of the moduli spaces of polarized abelian surfaces, Int. Math. Research Notices 6 (1994), 235-243; Abelian Varieties, eds. Barth, Hulek, Lange, de Gruyter, Berlin, 1995, pp. 63-81.
-
(1995)
Abelian Varieties
, pp. 63-81
-
-
-
16
-
-
0000672156
-
Siegel automorphic form correction of some Lorentzian Kac-Moody Lie algebras
-
alggeom/9504006
-
13. V. A. Gritsenko and V. V. Nikulin, Siegel automorphic form correction of some Lorentzian Kac-Moody Lie algebras, Amer. J. Math. 119 (1997), 181-224; alggeom/9504006.
-
(1997)
Amer. J. Math.
, vol.119
, pp. 181-224
-
-
Gritsenko, V.A.1
Nikulin, V.V.2
-
17
-
-
0001398724
-
Siegel automorphic form correction of a Lorentzian Kac-Moody algebra
-
14. V. A. Gritsenko and V. V. Nikulin, Siegel automorphic form correction of a Lorentzian Kac-Moody algebra, C. R. Acad. Sci. Paris Sér. A-B 321 (1995), 1151-1156.
-
(1995)
C. R. Acad. Sci. Paris Sér. A-B
, vol.321
, pp. 1151-1156
-
-
Gritsenko, V.A.1
Nikulin, V.V.2
-
18
-
-
0030524862
-
K3 surfaces, Lorentzian Kac-Moody algebras and mirror symmetry
-
alg-geom/9510008
-
15. V. A. Gritsenko and V. V. Nikulin, K3 surfaces, Lorentzian Kac-Moody algebras and mirror symmetry, Math. Res. Lett. 3 (2) (1996), 211-229; alg-geom/9510008.
-
(1996)
Math. Res. Lett.
, vol.3
, Issue.2
, pp. 211-229
-
-
Gritsenko, V.A.1
Nikulin, V.V.2
-
19
-
-
0030299669
-
The Igusa modular forms and "the simplest" Lorentzian Kac-Moody algebras
-
alggeom/9603010
-
16. V. A. Gritsenko and V. V. Nikulin, The Igusa modular forms and "the simplest" Lorentzian Kac-Moody algebras, Matem. Sbornik 187 (1996), 1601-1641; alggeom/9603010.
-
(1996)
Matem. Sbornik
, vol.187
, pp. 1601-1641
-
-
Gritsenko, V.A.1
Nikulin, V.V.2
-
20
-
-
0009979245
-
-
preprint of RIMS, Kyoto Univ. alg-geom/9610022
-
17. V. A. Gritsenko and V. V. Nikulin, Automorphic forms and Lorentzian Kac-Moody algebras, Part I, preprint of RIMS, Kyoto Univ. (1996), no. 1116; alg-geom/9610022.
-
(1996)
Automorphic Forms and Lorentzian Kac-Moody Algebras
, vol.1116
, Issue.PART I
-
-
Gritsenko, V.A.1
Nikulin, V.V.2
-
23
-
-
0030600825
-
Algebras, BPS-states, and strings
-
hep-th/9510182
-
20. J. Harvey and G. Moore, Algebras, BPS-states, and strings, Nucl. Phys. B463 (1996), 315-368; hep-th/9510182.
-
(1996)
Nucl. Phys.
, vol.B463
, pp. 315-368
-
-
Harvey, J.1
Moore, G.2
-
26
-
-
49449126179
-
Lie superalgebras
-
23. V. Kac, Lie superalgebras, Adv. Math. 26 (1977), 8-96.
-
(1977)
Adv. Math.
, vol.26
, pp. 8-96
-
-
Kac, V.1
-
27
-
-
0002956518
-
Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula
-
24. V. Kac, Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Adv. Math. 30 (1978), 85-136.
-
(1978)
Adv. Math.
, vol.30
, pp. 85-136
-
-
Kac, V.1
-
28
-
-
0041939487
-
N = 2 heterotic string threshold correction, K3 surfaces and generalized Kac-Moody superalgebra
-
hep-th/9512046
-
25. T. Kawai, N = 2 Heterotic string threshold correction, K3 surfaces and generalized Kac-Moody superalgebra, Phys. Lett. B371 (1996), 59; hep-th/9512046.
-
(1996)
Phys. Lett.
, vol.B371
, pp. 59
-
-
Kawai, T.1
-
29
-
-
0002625987
-
String duality and modular forms
-
26. T. Kawai, String duality and modular forms, Phys. Lett. B397 (1997), 51-62.
-
(1997)
Phys. Lett.
, vol.B397
, pp. 51-62
-
-
Kawai, T.1
-
30
-
-
0001928102
-
Integral symmetric bilinear forms and some of their geometric applications
-
27. V. V. Nikulin, Integral symmetric bilinear forms and some of their geometric applications, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), 111-177; English transl. in Math. USSR Izv. 14 (1980).
-
(1979)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.43
, pp. 111-177
-
-
Nikulin, V.V.1
-
31
-
-
0010052681
-
-
English transl.
-
27. V. V. Nikulin, Integral symmetric bilinear forms and some of their geometric applications, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), 111-177; English transl. in Math. USSR Izv. 14 (1980).
-
(1980)
Math. USSR Izv.
, vol.14
-
-
-
32
-
-
0002710582
-
On the quotient groups of the automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections
-
Current Problems in Math. Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow
-
28. V. V. Nikulin, On the quotient groups of the automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections, Algebraic-geometric applications, Current Problems in Math. Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (1981), 3-114; English transl. in J. Soviet Math. 22 (1983), 1401-1476.
-
(1981)
Algebraic-geometric Applications
, pp. 3-114
-
-
Nikulin, V.V.1
-
33
-
-
34250151101
-
-
English transl.
-
28. V. V. Nikulin, On the quotient groups of the automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections, Algebraic-geometric applications, Current Problems in Math. Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow (1981), 3-114; English transl. in J. Soviet Math. 22 (1983), 1401-1476.
-
(1983)
J. Soviet Math.
, vol.22
, pp. 1401-1476
-
-
-
34
-
-
0001448121
-
On arithmetic groups generated by reflections in Lobachevsky spaces
-
29. V. V. Nikulin, On arithmetic groups generated by reflections in Lobachevsky spaces, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 637-669; English transl. in Math. USSR Izv. 16 (1981).
-
(1980)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.44
, pp. 637-669
-
-
Nikulin, V.V.1
-
35
-
-
0010048882
-
-
English transl.
-
29. V. V. Nikulin, On arithmetic groups generated by reflections in Lobachevsky spaces, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 637-669; English transl. in Math. USSR Izv. 16 (1981).
-
(1981)
Math. USSR Izv.
, vol.16
-
-
-
36
-
-
0000501795
-
On the classification of arithmetic groups generated by reflections in Lobachevsky spaces
-
30. V. V. Nikulin, On the classification of arithmetic groups generated by reflections in Lobachevsky spaces, Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), no. 1, 113-142; English transi, in Math. USSR Izv. 18 (1982).
-
(1981)
Izv. Akad. Nauk SSSR Ser. Mat.
, vol.45
, Issue.1
, pp. 113-142
-
-
Nikulin, V.V.1
-
37
-
-
0010050922
-
-
English transi
-
30. V. V. Nikulin, On the classification of arithmetic groups generated by reflections in Lobachevsky spaces, Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), no. 1, 113-142; English transi, in Math. USSR Izv. 18 (1982).
-
(1982)
Math. USSR Izv.
, vol.18
-
-
-
38
-
-
0001625675
-
Surfaces of type K3 with finite automorphism group and Picard group of rank three
-
31. V. V. Nikulin, Surfaces of type K3 with finite automorphism group and Picard group of rank three, Proc. Steklov. Math. Inst. 165 (1984), 113-142; English transl. in Trudy Inst. Steklov 3 (1985).
-
(1984)
Proc. Steklov. Math. Inst.
, vol.165
, pp. 113-142
-
-
Nikulin, V.V.1
-
39
-
-
0010018297
-
-
English transl.
-
31. V. V. Nikulin, Surfaces of type K3 with finite automorphism group and Picard group of rank three, Proc. Steklov. Math. Inst. 165 (1984), 113-142; English transl. in Trudy Inst. Steklov 3 (1985).
-
(1985)
Trudy Inst. Steklov
, vol.3
-
-
-
40
-
-
0001561419
-
Discrete reflection groups in Lobachevsky spaces and algebraic surfaces
-
32. V. V. Nikulin, Discrete reflection groups in Lobachevsky spaces and algebraic surfaces, Proc. Int. Congr. Math. Berkeley 1986, vol. 1, pp. 654-669.
-
(1986)
Proc. Int. Congr. Math. Berkeley
, vol.1
, pp. 654-669
-
-
Nikulin, V.V.1
-
42
-
-
0002139036
-
Reflection groups in Lobachevsky spaces and the denominator identity for Lorentzian Kac-Moody algebras
-
34. V. V. Nikulin, Reflection groups in Lobachevsky spaces and the denominator identity for Lorentzian Kac-Moody algebras, Izv. Akad. Nauk of Russia. Ser. Mat. 60(2) (1996), 73-106;
-
(1996)
Izv. Akad. Nauk of Russia. Ser. Mat.
, vol.60
, Issue.2
, pp. 73-106
-
-
Nikulin, V.V.1
-
43
-
-
0000526432
-
-
English transl. alggeom/9503003
-
English transl. in Russian Acad. Sci. Izv. Math. 60 (1996), 305-334; alggeom/9503003.
-
(1996)
Russian Acad. Sci. Izv. Math.
, vol.60
, pp. 305-334
-
-
-
44
-
-
0000261490
-
The remark on discriminants of K3 surfaces moduli as sets of zeros of automorphic forms
-
alg-geom/9512018
-
35. V. V. Nikulin, The remark on discriminants of K3 surfaces moduli as sets of zeros of automorphic forms, J Math. Sciences 81(3) (1996), 2738-2743; alg-geom/9512018.
-
(1996)
J Math. Sciences
, vol.81
, Issue.3
, pp. 2738-2743
-
-
Nikulin, V.V.1
-
45
-
-
4243643400
-
Diagram method for 3-folds and its application to Kähler cone and Picard number of Calabi-Yau 3-folds. I
-
in Higher Dimensional Complex Varieties, held in Trento, Italy, June 15-24, eds. M. Andreatta, Th. Peternell, de Gruyter
-
36. V. V. Nikulin, Diagram method for 3-folds and its application to Kähler cone and Picard number of Calabi-Yau 3-folds. I, in Higher Dimensional Complex Varieties, Proc. of Int. Confer, held in Trento, Italy, June 15-24, 1994, eds. M. Andreatta, Th. Peternell, de Gruyter, 1996, pp. 261-328.
-
(1994)
Proc. of Int. Confer
, pp. 261-328
-
-
Nikulin, V.V.1
-
46
-
-
0001231934
-
A character formula for generalized Kac-Moody superalgebras
-
37. U. Ray, A character formula for generalized Kac-Moody superalgebras, J. Algebra 177 (1995), 154-163.
-
(1995)
J. Algebra
, vol.177
, pp. 154-163
-
-
Ray, U.1
-
47
-
-
0002460514
-
On groups of unit elements of certain quadratic forms
-
38. É. B. Vinberg, On groups of unit elements of certain quadratic forms, Matem. Sbornik 87 (1972), 18-36; English transl. in Math USSR Sbornik 16 (1972), 17-35.
-
(1972)
Matem. Sbornik
, vol.87
, pp. 18-36
-
-
Vinberg, E.B.1
-
48
-
-
0010013687
-
-
English transl.
-
38. É. B. Vinberg, On groups of unit elements of certain quadratic forms, Matem. Sbornik 87 (1972), 18-36; English transl. in Math USSR Sbornik 16 (1972), 17-35.
-
(1972)
Math USSR Sbornik
, vol.16
, pp. 17-35
-
-
-
49
-
-
0002595951
-
The absence of crystallographic reflection groups in Lobachevsky spaces of large dimension
-
39. É. B. Vinberg, The absence of crystallographic reflection groups in Lobachevsky spaces of large dimension, Trudy Moscow. Mat. Obshch. 47 (1984), 68-102; English transl. in Trans. Moscow Math. Soc. 47 (1985).
-
(1984)
Trudy Moscow. Mat. Obshch.
, vol.47
, pp. 68-102
-
-
Vinberg, E.B.1
-
50
-
-
0009979544
-
-
English transl.
-
39. É. B. Vinberg, The absence of crystallographic reflection groups in Lobachevsky spaces of large dimension, Trudy Moscow. Mat. Obshch. 47 (1984), 68-102; English transl. in Trans. Moscow Math. Soc. 47 (1985).
-
(1985)
Trans. Moscow Math. Soc.
, vol.47
-
-
-
51
-
-
0002477533
-
Hyperbolic reflection groups
-
40. É. B. Vinberg, Hyperbolic reflection groups, Uspekhi Mat. Nauk 40 (1985), 29-66; English transl. in Russian Math. Surveys 40 (1985).
-
(1985)
Uspekhi Mat. Nauk
, vol.40
, pp. 29-66
-
-
Vinberg, B.1
-
52
-
-
0010017116
-
-
English transl.
-
40. É. B. Vinberg, Hyperbolic reflection groups, Uspekhi Mat. Nauk 40 (1985), 29-66; English transl. in Russian Math. Surveys 40 (1985).
-
(1985)
Russian Math. Surveys
, vol.40
-
-
|