Uniruledness of orthogonal modular varieties

DOI10.1090/S1056-3911-2014-00632-9zbMath1309.14030arXiv1202.3361OpenAlexW2067487246MaRDI QIDQ2922503

Klaus Hulek, Valery Gritsenko

Publication date: 10 October 2014

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3361

zbMATH Keywords

latticemodular formmoduli spaceuniruledness

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) Jacobi forms (11F50) Moduli, classification: analytic theory; relations with modular forms (14J15) Relations with algebraic geometry and topology (11F23) Automorphism groups of lattices (11H56)

Related Items (9)

Reflective modular forms on lattices of prime level ⋮ Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras ⋮ Uniruledness of some low-dimensional ball quotients ⋮ The classification of 2-reflective modular forms ⋮ Fano Shimura varieties with mostly branched cusps ⋮ Antisymmetric paramodular forms of weight 3 ⋮ Theta block conjecture for paramodular forms of weight 2 ⋮ Reflective automorphic forms on lattices of squarefree level ⋮ Reflective modular forms and applications

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