English

Around the Abhyankar--Sathaye conjecture

Algebraic Geometry 2014-09-24 v1

Abstract

A "rational" version of the strengthened form of the Commuting Derivation Conjecture, in which the assumption of commutativity is dropped, is proved. A systematic method of constructing in any dimension greater than 3 the examples answering in the negative a question by M. El Kahoui is developed.

Keywords

Cite

@article{arxiv.1409.6330,
  title  = {Around the Abhyankar--Sathaye conjecture},
  author = {Vladimir L. Popov},
  journal= {arXiv preprint arXiv:1409.6330},
  year   = {2014}
}

Comments

14 pages

R2 v1 2026-06-22T06:02:50.710Z