Algebraic BP-theory and norm varieties
 
Nobuaki Yagita
 
Department of Mathematics, Faculty of Education, Ibaraki University,
Mito, Ibaraki, Japan
 
yagita@mx.ibaraki.ac.jp

Primary 14C15, 57T25; Secondary 55R35, 57T05

Let X be a smooth variety over a field k of characteristic zero.  For a
fixed prime p, the algebraic BP-theory ABP(X) is the algebraic version
of the topological BP-theory.  Given a nonzero symbol

             a in K_{n+1}^M (k)/p,

the norm variety V_a is a variety such that a=0 in K_{n+1}^M (k(V_a))/p
and V_a(C)=v_n.  In this paper, we mainly study ABP(V_a) for p an odd
prime.