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This is a report on B. Bhatt, J. Lurie, and A. Mathew, Revisiting the de Rham– Witt complex, Astérisque 424 (2021). We review the main definitions and properties of the saturated de Rham–Witt complexes constructed by B. Bhatt, J. Lurie, and A. Mathew. A few complements are added, concerning the genesis of the notion, examples, and finiteness properties and open problems.
@article{RSMUP_2021__146__177_0,
author = {Illusie, Luc},
title = {A new approach to de {Rham{\textendash}Witt} complexes, after {Bhatt,} {Lurie,} and {Mathew}},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {177--221},
volume = {146},
year = {2021},
doi = {10.4171/rsmup/86},
mrnumber = {4349654},
zbl = {1490.14031},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4171/rsmup/86/}
}
TY - JOUR AU - Illusie, Luc TI - A new approach to de Rham–Witt complexes, after Bhatt, Lurie, and Mathew JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2021 SP - 177 EP - 221 VL - 146 UR - http://geodesic.mathdoc.fr/articles/10.4171/rsmup/86/ DO - 10.4171/rsmup/86 LA - en ID - RSMUP_2021__146__177_0 ER -
%0 Journal Article %A Illusie, Luc %T A new approach to de Rham–Witt complexes, after Bhatt, Lurie, and Mathew %J Rendiconti del Seminario Matematico della Università di Padova %D 2021 %P 177-221 %V 146 %U http://geodesic.mathdoc.fr/articles/10.4171/rsmup/86/ %R 10.4171/rsmup/86 %G en %F RSMUP_2021__146__177_0
Illusie, Luc. A new approach to de Rham–Witt complexes, after Bhatt, Lurie, and Mathew. Rendiconti del Seminario Matematico della Università di Padova, Tome 146 (2021), pp. 177-221. doi : 10.4171/rsmup/86. http://geodesic.mathdoc.fr/articles/10.4171/rsmup/86/
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