A comparison of logarithmic overconvergent de Rham–Witt and log-crystalline cohomology for projective smooth varieties with normal crossing divisor
Langer, Andreas1 ; Zink, Thomas2
1 University of Exeter, EXETER, DEVON, UNITED KINGDOM
2 Universität Bielefeld, BIELEFELD, GERMANY
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 229-235.

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 de fined 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.

DOI : 10.4171/RSMUP/137-13
Classification : 14F30
Mots clés : Log-crystalline cohomology, de Rham–Witt complex
Langer, Andreas 1 ; Zink, Thomas 2

1 University of Exeter, EXETER, DEVON, UNITED KINGDOM
2 Universität Bielefeld, BIELEFELD, GERMANY 
@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},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-13},
     mrnumber = {3652878},
     zbl = {1401.14112},
     url = {http://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/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. http://archive.numdam.org/articles/10.4171/RSMUP/137-13/

Cité par Sources :