Koszul property and Bogomolov's conjecture
K-Theory and Homology
2014-06-10 v2 Number Theory
Rings and Algebras
Abstract
This is an enhanced version of the author's 1998 Harvard Ph.D. thesis, as published by IMRN in 2005. We propose an extension of Bogomolov's conjecture about commutator subgroups of Galois groups to arbitrary fields. A somewhat weaker conjecture is then shown to follow, together with the famous Milnor-Bloch-Kato conjecture, from a certain hypothesis about homological properties of the Milnor K-theory algebras.
Keywords
Cite
@article{arxiv.1405.0965,
title = {Koszul property and Bogomolov's conjecture},
author = {Leonid Positselski},
journal= {arXiv preprint arXiv:1405.0965},
year = {2014}
}
Comments
LaTeX 2e, 30 pages; v.2: arguments improved in the appendix, two remarks inserted at the end. Submitted also to K-theory electronic preprint archives at http://www.math.uiuc.edu/K-theory/0730/