Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type

DOI10.1007/BF01446555zbMath0697.14024OpenAlexW2036325941MaRDI QIDQ911673

Masa-Hiko Saito, Steven Zucker

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164764

zbMATH Keywords

variation of Hodge structureclassification of non-rigid families of K3 surfacesfiniteness theorem of Arakelov type

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Variation of Hodge structures (algebro-geometric aspects) (14D07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Moduli, classification: analytic theory; relations with modular forms (14J15) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (4)

String loop corrected hypermultiplet moduli spaces ⋮ M-theory compactifications on certain `toric' cones of \(G_{2}\) holonomy ⋮ Classification of non-rigid families of abelian varieties ⋮ Calabi-Yau threefolds fibred by high rank lattice polarized \(K3\) surfaces

Cites Work

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• Variation of Hodge structure: The singularities of the period mapping
• Théorie de Hodge. II. (Hodge theory. II)
• La conjecture de Weil pour les surfaces K3
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• On the Torelli problem for kählerian $K-3$ surfaces
• Hodge groups of K3 surfaces.
• FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES

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