Tame and wild degree functions
Algebraic Geometry
2010-07-06 v1 Commutative Algebra
Abstract
We give examples of degree functions deg : R --> M, where R is a polynomial ring in 2 or 3 variables and M is either the integers or the natural numbers, whose behaviour with respect to derivations D : R --> R is pathological in the sense that deg(Dx) - deg(x) (where x in R \ {0}) is not bounded above. We also give several general results stating that such pathologies do not occur when the degree functions satisfy certain hypotheses.
Keywords
Cite
@article{arxiv.1007.0508,
title = {Tame and wild degree functions},
author = {Daniel Daigle},
journal= {arXiv preprint arXiv:1007.0508},
year = {2010}
}
Comments
25 pages