Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras
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Valery Gritsenko and Viacheslav V. Nikulin
Translated by: the authors - Trans. Moscow Math. Soc. 2017, 75-83
- DOI: https://doi.org/10.1090/mosc/265
- Published electronically: December 1, 2017
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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.References
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Bibliographic Information
- Valery Gritsenko
- Affiliation: Laboratoire Paul Painlevé et IUF, Université de Lille 1, France – and – National Research University “Higher School of Economics”, Russian Federation
- MR Author ID: 219176
- Email: Valery.Gritsenko@math.univ-lille1.fr
- Viacheslav V. Nikulin
- Affiliation: Steklov Mathematical Institute, ul. Gubkina 8, Moscow 117966, GSP-1, Russia – and – Department of Pure Mathematics, The University of Liverpool, Liverpool L69 3BX, United Kingdom
- Email: nikulin@mi.ras.ru, vvnikulin@list.ru, vnikulin@liv.ac.uk
- Published electronically: December 1, 2017
- Additional Notes: The first author was supported by Laboratory of Mirror Symmetry NRU HSE, RF government grant, ag. N 14.641.31.0001.
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2017, 75-83
- MSC (2010): Primary 14J15, 14J28, 14J33, 14J60, 14J81
- DOI: https://doi.org/10.1090/mosc/265
- MathSciNet review: 3738078
Dedicated: Dedicated to É. B. Vinberg on the occasion of his 80th birthday