Jacobian nullwerte and algebraic equations

DOI10.1016/S0021-8693(02)00049-2zbMath1054.14041MaRDI QIDQ1849120

Jordi Guárdia i Rúbies

Publication date: 28 November 2002

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

discriminanthyperelliptic theta functionsThomae's formula

Mathematics Subject Classification ID

Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Theta functions and curves; Schottky problem (14H42) Torelli problem (14C34)

Related Items (9)

Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves ⋮ On equations defining fake elliptic curves ⋮ Explicit Mumford isomorphism for hyperelliptic curves ⋮ New explicit formulas for Faltings' delta-invariant ⋮ On the Torelli problem and Jacobian Nullwerte in genus three ⋮ Genus two curves with quaternionic multiplication and modular Jacobian ⋮ Non-hyperelliptic modular Jacobians of dimension 3 ⋮ Gluing curves of genus 1 and 2 along their 2-torsion ⋮ Examples of abelian surfaces with everywhere good reduction

Cites Work

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• A generalization of Rosenhain's normal form for hyperelliptic curves with an application
• Tata lectures on theta. III
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• A generalization of Jacobi's derivative formula to dimension two.
• On Jacobi's Derivative Formula and its Generalizations
• On the Discriminant of a Hyperelliptic Curve

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