Abeliants and their application to an elementary construction of Jacobians.

DOI10.1016/S0001-8708(02)00024-5zbMath1065.14035arXivmath/0112321MaRDI QIDQ1865282

Greg W. Anderson

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112321

zbMATH Keywords

group lawprojective algebraic curve

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05)

Related Items (6)

Edited \(4\Theta\)-embeddings of Jacobians ⋮ On an analogue of the Lutz-Nagell theorem for hyperelliptic curves ⋮ Elliptic curves and Hilbert’s tenth problem for algebraic function fields over real andp-adic fields ⋮ Asymptotically fast group operations on Jacobians of general curves ⋮ Factoring polynomials over finite fields ⋮ Lacunary Wronskians on genus one curves

Cites Work

• Cycles of quadratic polynomials and rational points on a genus-2 curve
• A subexponential algorithm for discrete logarithms over hyperelliptic curves of large genus over \(\text{GF}(q)\)
• Automorphic forms on GL (2)
• Determinantal Equations for Curves of High Degree
• Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields
• Varieties Defined by Quadratic Equations
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Abeliants and their application to an elementary construction of Jacobians.