Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras

DOI10.1090/mosc/265zbMath1402.14042arXiv1702.07551OpenAlexW2775141503MaRDI QIDQ4584292

Viacheslav V. Nikulin, Valery Gritsenko

Publication date: 30 August 2018

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07551

zbMATH Keywords

Lie algebrapolarizationmoduli spacedegeneration\(K3\) surfaceroot systemdiscriminantKac-Moody algebraautomorphic formPicard latticd

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Moduli, classification: analytic theory; relations with modular forms (14J15) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras, The classification of 2-reflective modular forms, Reflective modular forms and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abelianisation of orthogonal groups and the fundamental group of modular varieties
• Generalized Kac-Moody algebras
• Applications of the Kaehler-Einstein-Calabi-Yau metric to moduli of K3 surfaces
• A simple proof of the surjectivity of the period map of K3 surfaces
• Compactifications defined by arrangements. II: Locally symmetric varieties of type IV
• On the Kodaira dimension of orthogonal modular varieties
• Mirror symmetry for lattice polarized \(K3\) surfaces
• A remark on discriminants of moduli of \(K3\) surfaces as sets of zeros of automorphic forms
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• The moduli space of Enriques surfaces and the fake monster Lie superalgebra
• \(K3\) surfaces, Lorentzian Kac-Moody algebras and mirror symmetry
• The arithmetic mirror symmetry and Calabi-Yau manifolds
• Uniruledness of orthogonal modular varieties
• Classification of $2$-reflective hyperbolic lattices of rank $4$
• DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
• Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
• Lie superalgebras