English

Computing preimages of points and curves under polynomial maps

Algebraic Geometry 2010-05-04 v1 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1005.0288,
  title  = {Computing preimages of points and curves under polynomial maps},
  author = {Michiel de Bondt and Stefan Maubach},
  journal= {arXiv preprint arXiv:1005.0288},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T15:17:50.697Z