Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces

DOI10.1090/S1056-3911-2014-00622-6zbMath1314.14025arXiv1110.5110OpenAlexW2963132441MaRDI QIDQ2939277

Shouhei Ma

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1110.5110

zbMATH Keywords

rationalitymoduli space of \(K3\) surfaces

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) Families, moduli, classification: algebraic theory (14J10) Rationality questions in algebraic geometry (14E08)

Related Items

Rationality of the moduli spaces of Eisenstein 𝐾3 surfaces ⋮ A singular symplectic variety of dimension 6 with a Lagrangian Prym fibration ⋮ On the Kodaira dimension of orthogonal modular varieties ⋮ Reflective modular forms on lattices of prime level ⋮ Uniruledness of orthogonal modular varieties ⋮ Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ Unirational moduli spaces of some elliptic \(\mathrm{K}3\) surfaces ⋮ K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant ⋮ $K3$ surfaces with involution and analytic torsion ⋮ Moduli of lattice polarized \(K3\) surfaces via relative canonical resolutions

Cites Work

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• The rationality of the moduli space of genus-4 curves endowed with an order-3 subgroup of their Jacobian
• The rationality of the fields of invariants of reducible representations of the group \(SL_ 2\)
• Line bundles and syzygies of trigonal curves
• The moduli of Weierstrass fibrations over \(\mathbb{P}^1\)
• Rationality of the moduli variety of curves of genus 3
• The period lattice for Enriques surfaces
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
• Resolving \(G\)-torsors by abelian base extensions.
• Del Pezzo and \(K3\) surfaces
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• The rationality of the moduli spaces of trigonal curves of odd genus
• The moduli of curves of genus six and K3 surfaces
• RATIONALITY OF SOME QUOTIENT VARIETIES
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
• Geometric Invariant Theory
• A complex hyperbolic structure for the moduli space of curves of genus three
• The unirationality of the moduli spaces of 2-elementary K 3 surfaces
• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10
• The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces
• Invariants of Certain Groups I

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