Algebraic dependence and Milnor K-theory
K-Theory and Homology
2022-11-29 v1 Algebraic Geometry
Abstract
This paper shows that algebraic (in)dependence is encoded in Milnor K-theory of fields. As an application, we show that the isomorphism type of a field is determined by its Milnor K-theory, up to purely inseparable extensions, in most situations.
Cite
@article{arxiv.2211.14665,
title = {Algebraic dependence and Milnor K-theory},
author = {Adam Topaz},
journal= {arXiv preprint arXiv:2211.14665},
year = {2022}
}
Comments
v1: 23 pages; comments welcome!