A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor

Langer A, Zink T (2017)
Rendiconti del Seminario matematico della Università di Padova 137: 229-235.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Langer, Andreas; Zink, ThomasUniBi
Abstract / Bemerkung
In this note we derive for a smooth projective variety X with normal crossing divisor Z an integral comparison between the log-crystalline cohomology of the associated log-scheme and the logarithmic overconvergent de Rham-Witt cohomology defined by Matsuue. This extends our previous result that in the absence of a divisor Z the crystalline cohomology and overconvergent de Rham-Witt cohomology are canonically isomorphic.
Stichworte
Log-crystalline cohomology; de Rham-Witt complex
Erscheinungsjahr
2017
Zeitschriftentitel
Rendiconti del Seminario matematico della Università di Padova
Band
137
Seite(n)
229-235
ISSN
0041-8994
eISSN
2240-2926
Page URI
https://pub.uni-bielefeld.de/record/2914004

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Langer A, Zink T. A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor. Rendiconti del Seminario matematico della Università di Padova. 2017;137:229-235.
Langer, A., & Zink, T. (2017). A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor. Rendiconti del Seminario matematico della Università di Padova, 137, 229-235. doi:10.4171/RSMUP/137-13
Langer, A., and Zink, T. (2017). A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor. Rendiconti del Seminario matematico della Università di Padova 137, 229-235.
Langer, A., & Zink, T., 2017. A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor. Rendiconti del Seminario matematico della Università di Padova, 137, p 229-235.
A. Langer and T. Zink, “A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor”, Rendiconti del Seminario matematico della Università di Padova, vol. 137, 2017, pp. 229-235.
Langer, A., Zink, T.: A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor. Rendiconti del Seminario matematico della Università di Padova. 137, 229-235 (2017).
Langer, Andreas, and Zink, Thomas. “A comparison of logarithmic overconvergent de Rham-Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor”. Rendiconti del Seminario matematico della Università di Padova 137 (2017): 229-235.

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