On universal elliptic curves over Igusa curves

DOI10.1007/BF01234424zbMath0705.14024MaRDI QIDQ917627

Douglas L. Ulmer

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/143763

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureuniversal elliptic curve over an Igusa curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Global ground fields in algebraic geometry (14G25)

Related Items (9)

Rank 2 local systems, Barsotti-Tate groups, and Shimura curves ⋮ Derived category invariants andL-series ⋮ Correspondences without a core ⋮ On the Fourier coefficients of modular forms ⋮ Action of Hecke operators on cohomology of modular curves of level two ⋮ The Néron model over the Igusa curves ⋮ The geometry of Hida families I: \(\Lambda\)-adic de Rham cohomology ⋮ \(p\)-descent in characteristic \(p\) ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

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• On the eigenvalues of Hecke operators
• Hecke polynomials as congruence \(\zeta\) functions in elliptic modular case
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• L-Functions of Universal Elliptic Curves Over Igusa Curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• The Hasse-Witt matrix of an algebraic curve
• Group schemes of prime order
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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