Picard-Fuchs equations for elliptic modular varieties

DOI10.1016/0893-9659(91)90153-MzbMath0780.14005OpenAlexW1984795688WikidataQ128133465 ScholiaQ128133465MaRDI QIDQ1180325

S. Singh

Publication date: 27 June 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90153-m

zbMATH Keywords

elliptic fibrationPicard-Fuchs equationproduct of elliptic curveselliptic modular surfaceresolving singularities

Mathematics Subject Classification ID

Elliptic curves (14H52) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Modular and Shimura varieties (14G35)

Cites Work

• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• On the Kronecker pairing for mixed cusp forms
• Mixed cusp forms and holomorphic forms on elliptic varieties
• On the differentiation of De Rham cohomology classes with respect to parameters
• On elliptic modular surfaces
• On compact analytic surfaces. II
• Special values of Dirichlet series, monodromy, and the periods of automorphic forms
• Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves
• HOLOMORPHIC DIFFERENTIAL FORMS OF HIGHER DEGREE ON KUGA’S MODULAR VARIETIES
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

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