A construction of surfaces with geometric p=1, q=0 and \(2\leq (K^ 2)\leq 8\). Counter examples of the global Torelli theorem

DOI10.1007/BF01393879zbMath0457.14016MaRDI QIDQ1150662

Andrey N. Todorov

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/142799

zbMATH Keywords

Hodge structureperiod mapcounterexamples to the global Torelli theorem

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Algebraic moduli problems, moduli of vector bundles (14D20) Families, moduli, classification: algebraic theory (14J10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Topological properties in algebraic geometry (14F45)

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Cites Work

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• Applications of the Kaehler-Einstein-Calabi-Yau metric to moduli of K3 surfaces
• Pluricanonical systems on algebraic surfaces of general type
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)