Algebraic BP-theory and norm varieties

作者：Yagita Nobuaki^*

来源：Hokkaido Mathematical Journal, 2012, 41(2): 275-316.

• algebraic cobordism
• BP-theory
• norm variety

Let p be an odd prime and BP* (pt) congruent to Z((p))[v(1), v(2), ...] the coefficient ring of the Brown-Peterson cohomology theory BP* (-) with [v(i)] = -2p(i) + 2. We study ABP(*,*%26apos;) (-) theory, which is the counter part in algebraic geometry of the BP* (-) theory. Let k be a field with k subset of C and K-*(M) (k) the Milnor K-theory. For a nonzero symbol a is an element of K-n+1(M)(k)/p, a norm variety V-a is a smooth variety such that a vertical bar(k(V

• 出版日期2012-6