English

Computing the torsion points of a variety defined by lacunary polynomials

Number Theory 2009-11-16 v1 Algebraic Geometry

Abstract

We present an algorithm for computing the set of torsion points satisfying a given system of multivariate polynomial equations. Its complexity is quasilinear in the logarithm of the degree of the input equations and exponential in their number of non zero terms and variables.

Keywords

Cite

@article{arxiv.0911.2594,
  title  = {Computing the torsion points of a variety defined by lacunary polynomials},
  author = {Louis Leroux},
  journal= {arXiv preprint arXiv:0911.2594},
  year   = {2009}
}

Comments

30 pages