Year: 2006
Type: preprint
Abstract: This paper is concerned with the complexity and stability of arithmetic operations in the jacobian variety of curves over the field of complex numbers, as the genus grows to infinity. We focus on modular curves. Efficient and stable computation in the jacobian of modular curves is useful for computing coefficients of modular forms in deterministic polynomial time. This work is part of my contribution to Edixhoven's program for solving this problem.
Source: arXiv (Cornell University)
Author: Couveignes, Jean-Marc
Institution: Université Toulouse - Jean Jaurès
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1781313358