On the Jacobian Varieties of Picard Curves: Explicit Addition Law and Algebraic Structure

DOI10.1002/mana.3212080109zbMath0960.14032OpenAlexW2042281999MaRDI QIDQ4934183

Jorge Alejandro Piñeiro Barceló, Jorge Estrada Sarlabous, Ernesto Reinaldo Barreiro

Publication date: 20 February 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3212080109

zbMATH Keywords

JacobianPicard curve

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05)

Related Items (1)

Some computational aspects of Jacobians of curves in the family \(y^3=\gamma x^5+\delta\) over \(\mathbb F_p\)

Cites Work

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• Computing in the Jacobian of a Hyperelliptic Curve
• On the JACOBIan Varieties of PICARD Curves Defined over Fields of Characteristicp < 0
• Transcendental Ball Points of Algebraic Picard Integrals
• On the Defining Field of a Divisor in an Algebraic Variety
• The Jacobian Variety of an Algebraic Curve
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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