Computing preimages of points and curves under polynomial maps

Details Computing preimages of points and curves under polynomial maps Computing preimages of points and curves under polynomial maps

2010-05-03

arxiv.org/abs/1005.0288v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

In this paper, we give two algorithms to compute preimages of curves under
polynomial endomorphisms. In particular, this gives an efficient way of
computing preimages of points. Furthermore, we explain the abstract setting
under which one can iteratively compute the inverse of a polynomial
automorphism.

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