Problems on Abelian functions at the time of Poincaré and some at present

DOI10.1090/S0273-0979-1982-14969-2zbMath0484.14015OpenAlexW1989560791MaRDI QIDQ3943071

Jun-ichi Igusa

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-14969-2

zbMATH Keywords

abelian functionsJacobi problemtime of PoincareNullwert of the Jacobian of odd theta functions

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) History of algebraic geometry (14-03) History of mathematics in the 19th century (01A55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

On the geometry of elliptic solitons ⋮ Reduction of theta functions and elliptic finite-gap potentials ⋮ Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves ⋮ New generalisation of Jacobi's derivative formula ⋮ A new proof of a Thomae-like formulafor non hyperelliptic genus 3 curves ⋮ On the not integrally closed subrings of the ring of the Thetanullwerte

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• Über die analytische Theorie der quadratischen Formen
• Einführung in die Theorie der Modulfunktionen \(n\)-ten Grades
• Satake's Compactification of V n
• On Jacobi's Derivative Formula and its Generalizations
• On the Graded Ring of Theta-Constants
• On Compact Complex Analytic Varieties
• On the Picard Varieties Attached to Algebraic Varieties

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