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This article is cited in 1 scientific paper (total in 1 paper)
Examples of lattice-polarized $K3$ surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras
Valery Gritsenkoab, Viacheslav V. Nikulincd a Laboratoire Paul Painlevé et IUF, Université de Lille 1, France
b National Research University “Higher School of Economics”, Russian Federation
c Steklov Mathematical Institute, ul. Gubkina 8, GSP-1, Russia
d Department of Pure Mathematics, The University of Liverpool, Liverpool L69 3BX, United Kingdom
Abstract:
Using our results about Lorentzian Kac–Moody algebras and arithmetic mirror symmetry, we give six series of examples of lattice-polarized $K3$ surfaces with automorphic discriminant.
Key words and phrases:
$K3$ surface, Picard lattice, polarization, moduli space, degeneration, discriminant,
Lie algebra, Kac–Moody algebra, root system, automorphic form.
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English version:
Transactions of the Moscow Mathematical Society, 2017, 78, 75–83
Bibliographic databases:
UDC:
512.774.3, 512.774.5, 512.818.4, 515.178.1
MSC: 14J15, 14J28, 14J33, 14J60, 14J81 Received: 14.03.2017 Revised: 13.04.2017
Citation:
Valery Gritsenko, Viacheslav V. Nikulin, “Examples of lattice-polarized $K3$ surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras”, Tr. Mosk. Mat. Obs., 78, no. 1, MCCME, M., 2017, 89–100; Trans. Moscow Math. Soc., 78 (2017), 75–83
Citation in format AMSBIB
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\by Valery~Gritsenko, Viacheslav~V.~Nikulin
\paper Examples of lattice-polarized $K3$ surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras
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\pages 89--100
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\crossref{https://doi.org/10.1090/mosc/265}
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http://mi.mathnet.ru/eng/mmo590 http://mi.mathnet.ru/eng/mmo/v78/i1/p89
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This publication is cited in the following articles:
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V. A. Gritsenko, “Reflective modular forms and applications”, Russian Math. Surveys, 73:5 (2018), 797–864
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