Computing the torsion points of a variety defined by lacunary polynomials

Details Computing the torsion points of a variety defined by lacunary polynomials Computing the torsion points of a variety defined by lacunary polynomials

2009-11-13

arxiv.org/abs/0911.2594v1

Mathematics

Number Theory

30 pages

Scientific paper

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.

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