Mathematical Research Letters
Volume 12 (2005)
The Hyodo-Kato theorem for rational homotopy types
Pages: 155 – 169
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.