Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves

DOI10.24033/asens.1519zbMath0612.14006OpenAlexW2598870250MaRDI QIDQ3752493

C. A. M. Peters

Publication date: 1986

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1986_4_19_4_583_0

zbMATH Keywords

Picard-Fuchs equationsK3 surfacesGauss- Manin connection1-dimensional families of abelian surfacesmonodromy representation of the variations of Hodge structure

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Arithmetic ground fields for abelian varieties (14K15) Connections (general theory) (53C05) Special surfaces (14J25)

Related Items (8)

Period- and mirror-maps for the quartic \(K3\) ⋮ Picard-Fuchs equations for elliptic modular varieties ⋮ The \(L\)-series of certain rigid Calabi-Yau threefolds ⋮ On Shioda-Inose structures of one-parameter families of \(K3\) surfaces ⋮ On the monodromy of moduli spaces of sheaves on K3 surfaces ⋮ Another congruence for the Apéry numbers ⋮ The transcendental part of the regulator map for \(K_1\) on a mirror family of \(K3\)-surfaces. ⋮ Analytic periods via twisted symmetric squares

Cites Work

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• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• Automorphisms of Enriques surfaces
• Variation of Hodge structure: The singularities of the period mapping
• On K3 surfaces with large Picard number
• Compactification of arithmetic quotients of bounded symmetric domains
• On elliptic modular surfaces
• Equations différentielles à points singuliers réguliers
• Über die wesentlichen Singularitäten analytischer Mengen
• A family of K3 surfaces and ζ(3).

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