Koszul property and Bogomolov's conjecture , by Leonid Positselski

This is an enhanced version of the author's preprint http://wwww.math.uiuc.edu/K-theory/0296 presenting a greatly expanded version of Bogomolov's conjecture. A somewhat weaker, but still very strong version of the conjecture is shown to follow from certain hypotheses about the Milnor K-theory ring.

Update: Ido Efrat informed me that the proofs of main results of his and Koenigsmann's papers that I quoted in the last subsection of the Appendix appear to be erroneous. Accordingly, the subsection is removed.

Leonid Positselski <posic@mccme.ru >