\(K3\) surfaces with interesting groups of automorphisms
From MaRDI portal
Publication:1807496
DOI10.1007/BF02169159zbMath1029.11033arXivalg-geom/9701011OpenAlexW2073265007MaRDI QIDQ1807496
Publication date: 22 November 1999
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9701011
finitenessautomorphism groupmirror symmetry\(K3\) surfacePicard latticeLorentzian Kac-Moody algebrasreflective hyperbolic lattices
(K3) surfaces and Enriques surfaces (14J28) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Automorphisms of surfaces and higher-dimensional varieties (14J50)
Related Items
Type II/F-theory superpotentials with several deformations and \( \mathcal{N} = 1 \) mirror symmetry, Exact half-BPS black hole entropies in CHL models from Rademacher series, Elliptic Fibrations on K3 Surfaces, \(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers, The reflective Lorentzian lattices of rank 3
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The monster Lie algebra
- Generalized Kac-Moody algebras
- Monstrous moonshine and monstrous Lie superalgebras
- 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
- Commutator coverings of Siegel threefolds.
- The arithmetic mirror symmetry and Calabi-Yau manifolds
- Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras
- Hyperbolic reflection groups
- ON ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES
- Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras
- Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac-Moody algebras
- Diagram Method for 3-Folds and its Application to Kahler Cone and Picard Number of Calabi-Yau 3-Folds, I. with Appendix by Vyacheslav V. Shokurov: "Anticanonical boundedness for curves"
- BASIS OF THE DIAGRAM METHOD FOR GENERALIZED REFLECTION GROUPS IN LOBACHEVSKY SPACES AND ALGEBRAIC SURFACES WITH NEF ANTICANONICAL CLASS
- ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS