Enriques manifolds

DOI10.1515/CRELLE.2011.077zbMath1272.14026arXiv1001.4912OpenAlexW3037611675MaRDI QIDQ3105805

Stefan Schröer, Keiji Oguiso

Publication date: 9 January 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4912

zbMATH Keywords

Hilbert schemebielliptic surfaceEnriques surfaceshyperkähler manifold

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau theory (complex-analytic aspects) (32Q25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Parametrization (Chow and Hilbert schemes) (14C05) Moduli, classification: analytic theory; relations with modular forms (14J15)

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Cites Work

• Automorphisms of Enriques surfaces which act trivially on the cohomology groups
• The automorphism groups of the hyperelliptic surfaces
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• On the periods of Enriques surfaces. I
• Compact hyperkähler manifolds: Basic results
• Shafarevich maps and plurigenera of algebraic varieties
• Hyperelliptic varieties
• The moduli space of Enriques surfaces and the fake monster Lie superalgebra
• Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
• $K3$ surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
• A new six-dimensional irreducible symplectic variety
• Moduli spaces of stable sheaves on abelian surfaces.
• On the periods of Enriques surfaces. II