Compactifications of the period space of Enriques surfaces. I

DOI10.1007/BF02571372zbMath0736.14017OpenAlexW2027981083MaRDI QIDQ1814274

Hans Sterk

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174253

zbMATH Keywords

period mapdegeneration of Enriques surfacesSatake-Baily-Borel compactification of the period space

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Period matrices, variation of Hodge structure; degenerations (32G20) Algebraic moduli problems, moduli of vector bundles (14D20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

The moduli space of Enriques surfaces and Borcherds products, Lattices and \(K3\) surfaces of degree 6, Compactifications of the period space of Enriques surfaces. II, The Baily-Borel compactification of a family of orthogonal modular varieties, Cohomology of the moduli space of degree two Enriques surfaces, The moduli space of Hessian quartic surfaces and automorphic forms, Moduli of polarised Enriques surfaces — Computational aspects, Fano Shimura varieties with mostly branched cusps, IRREDUCIBLE HEEGNER DIVISORS IN THE PERIOD SPACE OF ENRIQUES SURFACES, Compactifications defined by arrangements. I: The ball quotient case., Compactifications defined by arrangements. II: Locally symmetric varieties of type IV, $K3$ surfaces with involution and analytic torsion, Compactifications of the moduli space of plane quartics and two lines, GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\), Deformations of singularities and variation of GIT quotients, The KSBA compactification of the moduli space of \(D_{1,6}\)-polarized Enriques surfaces, A Compactification of ₃ via K3 Surfaces

Cites Work

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• On the compactification of moduli spaces for algebraic 𝐾3 surfaces
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
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• On the periods of Enriques surfaces. II
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