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Algebra i Analiz, 1994, Volume 6, Issue 6, Pages 65–102 (Mi aa482)  

This article is cited in 21 scientific papers (total in 21 papers)

Research Papers

Modular forms and moduli spaces of abelian and $K3$ surfaces

V. A. Gritsenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full text: PDF file (3159 kB)

English version:
St. Petersburg Mathematical Journal, 1995, 6:6, 1179–1208

Bibliographic databases:

Received: 26.08.1993

Citation: V. A. Gritsenko, “Modular forms and moduli spaces of abelian and $K3$ surfaces”, Algebra i Analiz, 6:6 (1994), 65–102; St. Petersburg Math. J., 6:6 (1995), 1179–1208

Citation in format AMSBIB
\Bibitem{Gri94}
\by V.~A.~Gritsenko
\paper Modular forms and moduli spaces of abelian and~$K3$ surfaces
\jour Algebra i Analiz
\yr 1994
\vol 6
\issue 6
\pages 65--102
\mathnet{http://mi.mathnet.ru/aa482}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1322120}
\zmath{https://zbmath.org/?q=an:0847.14020}
\transl
\jour St. Petersburg Math. J.
\yr 1995
\vol 6
\issue 6
\pages 1179--1208


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. GRITSENKO, VA, “AUTOMORPHIC CORRECTION OF A LORENTZIAN KAC-MOODY ALGEBRA”, Comptes Rendus de l Academie Des Sciences Serie i-Mathematique, 321:9 (1995), 1151  mathscinet  zmath  isi
    2. Izv. Math., 60:5 (1996), 893–900  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. V. V. Nikulin, “Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac–Moody algebras”, Izv. Math., 60:2 (1996), 305–334  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Gritsenko, VA, “Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras”, American Journal of Mathematics, 119:1 (1997), 181  crossref  mathscinet  zmath  isi
    5. Gritsenko, V, “Commutator coverings of Siegel threefolds”, Duke Mathematical Journal, 94:3 (1998), 509  crossref  mathscinet  zmath  isi
    6. Gritsenko, V, “Minimal Siegel modular threefolds”, Mathematical Proceedings of the Cambridge Philosophical Society, 123 (1998), 461  crossref  mathscinet  zmath  adsnasa  isi
    7. Gritsenko, VA, “Automorphic forms and Lorentzian Kac-Moody algebras. Part I”, International Journal of Mathematics, 9:2 (1998), 153  crossref  mathscinet  zmath  isi
    8. Gritsenko, VA, “Automorphic forms and Lorentzian Kac-Moody algebras. Part II”, International Journal of Mathematics, 9:2 (1998), 201  crossref  mathscinet  zmath  isi
    9. Gritsenko, V, “The modular form of the Barth-Nieto quintic”, International Mathematics Research Notices, 1999, no. 17, 915  crossref  mathscinet  zmath  isi
    10. Aoki, H, “Automorphic forms on the expanded symmetric domain of type IV”, Publications of the Research Institute For Mathematical Sciences, 35:2 (1999), 263  crossref  mathscinet  zmath  isi
    11. Kondo, S, “On the Kodaira dimension of the moduli space of K3 surfaces II”, Compositio Mathematica, 116:2 (1999), 111  crossref  mathscinet  zmath  isi
    12. Freitag, E, “Some modular varieties of low dimension”, Advances in Mathematics, 152:2 (2000), 203  crossref  mathscinet  zmath  isi
    13. Gritsenko, VA, “The arithmetic mirror symmetry and Calabi-Yau manifolds”, Communications in Mathematical Physics, 210:1 (2000), 1  crossref  mathscinet  zmath  adsnasa  isi
    14. V. A. Gritsenko, V. V. Nikulin, “On classification of Lorentzian Kac–Moody algebras”, Russian Math. Surveys, 57:5 (2002), 921–979  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. Fujino, O, “A canonical bundle formula for certain algebraic fiber spaces and its applications”, Nagoya Mathematical Journal, 172 (2003), 129  mathscinet  zmath  isi
    16. Dabholkar A., Narnpuri S., “Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift”, Journal of High Energy Physics, 2007, no. 11, 077  crossref  mathscinet  isi
    17. Gritsenko, V, “Abelianisation of orthogonal groups and the fundamental group of modular varieties”, Journal of Algebra, 322:2 (2009), 463  crossref  mathscinet  zmath  isi
    18. Clery F., Gritsenko V., “Siegel modular forms of genus 2 with the simplest divisor”, Proc London Math Soc, 102:6 (2011), 1024–1052  crossref  isi
    19. Clery F., Gritsenko V., “Modular Forms of Orthogonal Type and Jacobi Theta-Series”, Abh. Math. Semin. Univ. Hamburg, 83:2 (2013), 187–217  crossref  isi
    20. Gritsenko V. Hulek K., “Uniruledness of Orthogonal Modular Varieties”, J. Algebr. Geom., 23:4 (2014), 711–725  isi
    21. V. A. Gritsenko, “Reflective modular forms and applications”, Russian Math. Surveys, 73:5 (2018), 797–864  mathnet  crossref  crossref  adsnasa  isi  elib
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