English

The Newton complementary dual revisited

Commutative Algebra 2016-05-20 v1 Algebraic Geometry

Abstract

This work deals with the notion of Newton complementary duality as raised originally in the work of the second author and B. Costa. A conceptual revision of the main steps of the notion is accomplished which then leads to a vast simplification and improvement of several statements concerning rational maps and their images. A ring-homomorphism like map is introduced that allows for a close comparison between the respective graphs of a rational map and its Newton dual counterpart.

Keywords

Cite

@article{arxiv.1605.05783,
  title  = {The Newton complementary dual revisited},
  author = {André Dória and Aron Simis},
  journal= {arXiv preprint arXiv:1605.05783},
  year   = {2016}
}

Comments

14 pages

R2 v1 2026-06-22T14:04:13.684Z