Mathematical Research Letters

Volume 12, Issue 2, March 2005 pp. 155-169.

The Hyodo-Kato theorem for rational homotopy types

Authors: Minhyong Kim and Richard M. Hain
Author institution: University of Arizona and Duke University

Summary: The Hyodo-Kato theorem relates the De Rham cohomology of a variety over a local field with semi-stable reduction to the log crystalline cohomology of the special fiber. In this paper we prove an analogue for rational homotopy types. In particular, this gives a comparison isomorphism for fundamental groups.

Contents Full-Text PDF