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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

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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.a2
Kim, 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