Type III degenerations of K3 surfaces

DOI10.1007/BF01388751zbMath0613.14030OpenAlexW2079918189MaRDI QIDQ1088747

Francesco Scattone, Robert M. Friedman

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143302

zbMATH Keywords

Hodge structuresKulikov degenerationssemistable degenerations of K3 surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Rational and birational maps (14E05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Special surfaces (14J25)

Related Items

The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior), Heterotic-type IIA duality and degenerations of \(K3\) surfaces, Compact moduli of K3 surfaces, Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians, Stable pair compactification of moduli of \(K3\) surfaces of degree 2, Compact moduli of K3 surfaces with a nonsymplectic automorphism, Stable maps to Looijenga pairs, Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal, Motivic integral of \(K3\) surfaces over a non-Archimedean field, Hodge numbers of Landau-Ginzburg models, Smoothings and rational double point adjacencies for cusp singularities, A Kulikov-type classification theorem for a one parameter family of \(K3\)-surfaces over a \(p\)-adic field and a good reduction criterion, Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures, PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC

Cites Work

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• A new proof of the global Torelli theorem for K3 surfaces
• Global smoothings of varieties with normal crossings
• Variation of Hodge structure: The singularities of the period mapping
• On Witt's theorem for unimodular quadratic forms
• Théorie de Hodge. III
• Equations différentielles à points singuliers réguliers
• Toroidal Algebraic Groups
• On degenerations of algebraic surfaces
• DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
• Convex Polytopes
• Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3