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, Tome 137 (2017), pp. 229-235
Cet article a éte moissonné depuis la source Numdam
In this note we derive for a smooth projective variety with normal crossing divisor an integral comparison between the log-crystalline cohomology of the associated log-scheme and the logarithmic overconvergent de Rham–Witt cohomology de fined by Matsuue. This extends our previous result that in the absence of a divisor the crystalline cohomology and overconvergent de Rham–Witt cohomology are canonically isomorphic.
DOI :
10.4171/RSMUP/137-13
Classification :
14F30
Mots-clés : Log-crystalline cohomology, de Rham–Witt complex
Mots-clés : Log-crystalline cohomology, de Rham–Witt complex
Affiliations des auteurs :
Langer, Andreas 1 ; Zink, Thomas 2
@article{RSMUP_2017__137__229_0,
author = {Langer, Andreas and Zink, Thomas},
title = {A comparison of logarithmic overconvergent de {Rham{\textendash}Witt} and log-crystalline cohomology for projective smooth varieties with normal crossing divisor},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {229--235},
year = {2017},
publisher = {European Mathematical Society Publishing House},
address = {Zuerich, Switzerland},
volume = {137},
doi = {10.4171/RSMUP/137-13},
mrnumber = {3652878},
zbl = {1401.14112},
url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-13/}
}
TY - JOUR AU - Langer, Andreas AU - Zink, Thomas TI - A comparison of logarithmic overconvergent de Rham–Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2017 SP - 229 EP - 235 VL - 137 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-13/ DO - 10.4171/RSMUP/137-13 ID - RSMUP_2017__137__229_0 ER -
%0 Journal Article %A Langer, Andreas %A Zink, Thomas %T A comparison of logarithmic overconvergent de Rham–Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor %J Rendiconti del Seminario Matematico della Università di Padova %D 2017 %P 229-235 %V 137 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-13/ %R 10.4171/RSMUP/137-13 %F RSMUP_2017__137__229_0
Langer, Andreas; 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, Tome 137 (2017), pp. 229-235. doi: 10.4171/RSMUP/137-13
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