Maps between curves and arithmetic obstructions

DOI10.1090/conm/722/14532zbMath1464.11129arXiv1709.05734OpenAlexW2755642120MaRDI QIDQ5236844

Andrew V. Sutherland, José Felipe Voloch

Publication date: 16 October 2019

Published in: Arithmetic Geometry: Computation and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05734

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Polynomials over finite fields (11T06)

Related Items (5)

Doubly isogenous genus-2 curves with 𝐷₄-action ⋮ Recovering algebraic curves from \(L\)-functions of Hilbert class fields ⋮ Recovering affine curves over finite fields from \(L\)-functions ⋮ Using zeta functions to factor polynomials over finite fields ⋮ The relative class number one problem for function fields. I

Uses Software

• Magma

Cites Work

• Unnamed Item
• Real polynomials with all roots on the unit circle and abelian varieties over finite fields
• Constructing distinct curves with isomorphic Jacobians
• Classification of algebraic function fields with class number one
• Function fields of class number one
• Counting points on curves using a map to \(\mathbf P^1\). II.
• Approximate formulas for some functions of prime numbers
• Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time
• Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II
• Computing zeta functions of arithmetic schemes
• UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
• Using zeta functions to factor polynomials over finite fields
• Computing L-Series of Hyperelliptic Curves
• Algorithmic Number Theory

This page was built for publication: Maps between curves and arithmetic obstructions