Koszul property and Bogomolov's conjecture
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 MilnorBlochKato conjecture, from a certain hypothesis about homological properties of the Milnor Ktheory algebras.
 Publication:

arXiv eprints
 Pub Date:
 May 2014
 arXiv:
 arXiv:1405.0965
 Bibcode:
 2014arXiv1405.0965P
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Number Theory;
 Mathematics  Rings and Algebras
 EPrint:
 LaTeX 2e, 30 pages