Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces

Details Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces

2005-07-02

arxiv.org/abs/math/0507036v2

Mathematics

Algebraic Topology

23 pages

Scientific paper

We study the structure of the formal groups associated to the Morava $K$-theories of integral Eilenberg-Mac Lane spaces. The main result is that every formal group in the collection $\{K(n)^*K({\mathbb Z}, q), q=2,3,...\}$ for a fixed $n$ enters in it together with its Serre dual, an analogue of a principal polarization on an abelian variety. We also identify the isogeny class of each of these formal groups over an algebraically closed field. These results are obtained with the help of the Dieudonn\'e correspondence between bicommutative Hopf algebras and Dieudonn\'e modules. We extend P. Goerss's results on the bilinear products of such Hopf algebras and corresponding Dieudonn\'e modules.

Affiliated with

Also associated with

No associations

Rating

Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497393