Commutator coverings of Siegel threefolds
V. Gritsenko and K. Hulek
Source: Duke Math. J. Volume 94, Number 3
(1998), 509-542.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230456
Mathematical Reviews number (MathSciNet): MR1639531
Zentralblatt MATH identifier: 01425153
Digital Object Identifier: doi:10.1215/S0012-7094-98-09421-2
References
[BN] W. Barth and I. Nieto, Abelian surfaces of type $(1,3)$ and quartic surfaces with $16$ skew lines, J. Algebraic Geom. 3 (1994), no. 2, 173–222.
Mathematical Reviews (MathSciNet): MR95e:14033
Zentralblatt MATH: 0809.14027
[B] H.-J. Brasch, Singularitäten von Modulräumen abelscher Flächen mit Polarisierung vom Typ $(1, p)$, thesis, Erlangen, 1994.
[C] M. Cornalba, Systèmes pluricanoniques sur l'espace des modules des courbes et diviseurs de courbes $k$-gonales (d'après Harris et Mumford), Astérisque (1985), no. 121-122, 7–24, Séminiare Bourbaki, 1983/84, Soc. Math. France, Paris.
Mathematical Reviews (MathSciNet): MR86c:14021
Zentralblatt MATH: 0551.14014
[EZ] M. Eichler and D. Zagier, The Theory of Jacobi Forms, Progr. Math., vol. 55, Birkhäuser, Boston, 1985.
Mathematical Reviews (MathSciNet): MR86j:11043
Zentralblatt MATH: 0554.10018
[F] E. Freitag, Siegelsche Modulfunktionen, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 254, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR88b:11027
Zentralblatt MATH: 0498.10016
[G1]1 V. Gritsenko, Irrationality of the moduli spaces of polarized abelian surfaces, Internat. Math. Res. Notices (1994), no. 6, 235 ff., approx. 9 pp. (electronic).
Mathematical Reviews (MathSciNet): MR95c:14057
Zentralblatt MATH: 0854.14019
[G1]2 V. Gritsenko, Irrationality of the moduli spaces of polarized abelian surfaces, Abelian varieties (Egloffstein, 1993), de Gruyter, Berlin, 1995, pp. 63–84.
Mathematical Reviews (MathSciNet): MR96e:14022
Zentralblatt MATH: 0848.14019
[G2] V. Gritsenko, Modulformen zur Paramodulgruppe und Moulräume der Abelschen Varietäten, Mathematica Gottingensis 12 (1995), 1–89.
[G3] V. Gritsenko, Modular forms and moduli spaces of abelian and $K3$ surfaces, Algebra i Analiz 6 (1994), no. 6, 65–102, English transl. in St. Petersburg Math. J. 6 (1995), 1179–1208.
Mathematical Reviews (MathSciNet): MR96c:11052
Zentralblatt MATH: 0847.14020
[GH1] V. Gritsenko and K. Hulek, Appendix to V. Gritsenko “Irrationality of the moduli spaces of polarized abelian surfaces”, Abelian Varieties (Egloffstein, 1993), de Gruyter, Berlin, 1995, pp. 82–83.
Mathematical Reviews (MathSciNet): MR1336601
[GH2] V. Gritsenko and K. Hulek, Minimal Siegel modular threefolds, Math. Proc. Cambridge Philos. Soc. 123 (1998), no. 3, 461–485.
Mathematical Reviews (MathSciNet): MR99c:14048
Zentralblatt MATH: 0930.11028
Digital Object Identifier: doi:10.1017/S0305004197002259
[GN] V. Gritsenko and V. V. Nikulin, Automorphic forms and Lorentzian Kac-Moody algebras, II, Internat. J. Math. 9 (1998), no. 2, 201–275.
Mathematical Reviews (MathSciNet): MR99b:11041
Zentralblatt MATH: 0935.11016
Digital Object Identifier: doi:10.1142/S0129167X98000117
[GS] V. Gritsenko and G. K. Sankaran, Moduli of abelian surfaces with a $(1,p^2)$-polarisation, Izv. Ross. Akad. Nauk Ser. Math. 60 (1996), no. 5, 19–26.
Mathematical Reviews (MathSciNet): MR97k:14011
Zentralblatt MATH: 0910.14024
[GP] M. Gross and S. Popescu, Equations of $(1,d)$-polarized abelian surfaces, Math. Ann. 310 (1998), no. 2, 333–377.
Mathematical Reviews (MathSciNet): MR99d:14046
Zentralblatt MATH: 0922.14030
Digital Object Identifier: doi:10.1007/s002080050151
[Ig1] I. Igusa, On Siegel modular forms genus two, II, Amer. J. Math. 86 (1964), 392–412.
Mathematical Reviews (MathSciNet): MR29:6061
Zentralblatt MATH: 0133.33301
Digital Object Identifier: doi:10.2307/2373172
JSTOR: links.jstor.org
[Ig2] I. Igusa, Theta Functions, Grundlehren Math. Wiss., vol. 194, Springer-Verlag, New York, 1972.
Mathematical Reviews (MathSciNet): MR48:3972
Zentralblatt MATH: 0251.14016
[Ma] H. Maass, Die Multiplikatorsysteme zur Siegelschen Modulgruppe, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1964 (1964), 125–135.
Mathematical Reviews (MathSciNet): MR29:5917
Zentralblatt MATH: 0134.06103
[Mu1] D. Mumford, Picard groups of moduli problems, Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963), Harper & Row, New York, 1965, pp. 33–81.
Mathematical Reviews (MathSciNet): MR34:1327
Zentralblatt MATH: 0187.42801
[Mu2] D. Mumford, Towards an enumerative geometry of the moduli space of curves, Arithmetic and Geometry, II, Progr. Math., vol. 36, Birkhäuser, Boston, 1983, pp. 271–328.
Mathematical Reviews (MathSciNet): MR85j:14046
Zentralblatt MATH: 0554.14008
[R] I. Reiner, Real linear characters of the symplectic modular group, Proc. Amer. Math. Soc. 6 (1955), 987–990.
Mathematical Reviews (MathSciNet): MR17,710c
Zentralblatt MATH: 0066.28004
Digital Object Identifier: doi:10.2307/2033123
[S] G. K. Sankaran, Moduli of polarised abelian surfaces, Math. Nachr. 188 (1997), 321–340.
Mathematical Reviews (MathSciNet): MR99c:14060
Zentralblatt MATH: 0907.14019
Digital Object Identifier: doi:10.1002/mana.19971880117
[Sk] N.-P. Skoruppa, Über den Zusammenhang zwischen Jacobiformen und Modulformen halbganzen Gewichts, Bonner Mathematische Schriften [Bonn Mathematical Publications], 159, Universität Bonn Mathematisches Institut, Bonn, 1985.
Mathematical Reviews (MathSciNet): MR87a:11045
Zentralblatt MATH: 0564.10024
[SkZ] N.-P. Skoruppa and D. Zagier, Jacobi forms and a certain space of modular forms, Invent. Math. 94 (1988), no. 1, 113–146.
Mathematical Reviews (MathSciNet): MR89k:11029
Zentralblatt MATH: 0651.10020
Digital Object Identifier: doi:10.1007/BF01394347
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