Nikita A. Karpenko: Izhboldin's results on stably birational equivalence of quadrics

Submission: 2002, Jul 6

Our main goal is to give proofs of all results announced by Oleg Izhboldin in

In particular, we establish Izhboldin's criterion for stable equivalence of 9-dimensional forms. Several other related results, some of them due to the author, are also included.

2000 Mathematics Subject Classification: 11E04; 14C25

Keywords and Phrases: Quadratic forms, Chow groups, correspondences.

Full text: dvi.gz 57 k, dvi 145 k, ps.gz 286 k, pdf.gz 267 k, pdf 298 k.

Server Home Page