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.