Mathematical Research Letters

Volume 12 (2005)

Number 2

The Hyodo-Kato theorem for rational homotopy types

Pages: 155 – 169



Richard M. Hain

Minhyong Kim


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.

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