## The Hyodo-Kato theorem for rational homotopy types

Publication
, Journal Article

Kim, M; Hain, RM

Published in: Mathematical Research Letters

January 1, 2005

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.

### Duke Scholars

## Published In

Mathematical Research Letters

## DOI

## ISSN

1073-2780

## Publication Date

January 1, 2005

## Volume

12

## Issue

2-3

## Start / End Page

155 / 169

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics

### Citation

APA

Chicago

ICMJE

MLA

NLM

Kim, M., & Hain, R. M. (2005). The Hyodo-Kato theorem for rational homotopy types.

*Mathematical Research Letters*,*12*(2–3), 155–169. https://doi.org/10.4310/mrl.2005.v12.n2.a2Kim, M., and R. M. Hain. “The Hyodo-Kato theorem for rational homotopy types.”

*Mathematical Research Letters*12, no. 2–3 (January 1, 2005): 155–69. https://doi.org/10.4310/mrl.2005.v12.n2.a2.Kim M, Hain RM. The Hyodo-Kato theorem for rational homotopy types. Mathematical Research Letters. 2005 Jan 1;12(2–3):155–69.

Kim, M., and R. M. Hain. “The Hyodo-Kato theorem for rational homotopy types.”

*Mathematical Research Letters*, vol. 12, no. 2–3, Jan. 2005, pp. 155–69.*Scopus*, doi:10.4310/mrl.2005.v12.n2.a2.Kim M, Hain RM. The Hyodo-Kato theorem for rational homotopy types. Mathematical Research Letters. 2005 Jan 1;12(2–3):155–169.

## Published In

Mathematical Research Letters

## DOI

## ISSN

1073-2780

## Publication Date

January 1, 2005

## Volume

12

## Issue

2-3

## Start / End Page

155 / 169

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics