Defect of an extension, key polynomials and local uniformization
Algebraic Geometry
2014-12-25 v1
Abstract
For all simple and finite extension of a valued field, we prove that its defect is the product of the effective degrees of the complete set of key polynomials associated. As a consequence, we obtain a local uniformization theorem for valuations of rank 1 centered on an equicharacteristic quasi-excellent local domain satisfying some inductive assumptions of lack of defect.
Keywords
Cite
@article{arxiv.1412.7697,
title = {Defect of an extension, key polynomials and local uniformization},
author = {Jean-Christophe San Saturnino},
journal= {arXiv preprint arXiv:1412.7697},
year = {2014}
}
Comments
26 pages