Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary
Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 213-291.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

We introduce rigid syntomic cohomology for strictly semistable log schemes over a complete discrete valuation ring of mixed characteristic (0,p) In case a good compactification exists, we compare this cohomology theory to Nekovář–Nizioł’s crystalline syntomic cohomology of the generic fibre. The main ingredients are a modification of Große-Klönne’s rigid Hyodo–Kato theory and a generalization of it for strictly semistable log schemes with boundary.

Publié le :
DOI : 10.4171/rsmup/81
Classification : 14, 00
@article{RSMUP_2021__145__213_0,
     author = {Veronika Ertl and Kazuki Yamada},
     title = {Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {213--291},
     volume = {145},
     year = {2021},
     doi = {10.4171/rsmup/81},
     mrnumber = {4261656},
     zbl = {1478.14040},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/81/}
}
TY  - JOUR
AU  - Veronika Ertl
AU  - Kazuki Yamada
TI  - Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2021
SP  - 213
EP  - 291
VL  - 145
UR  - http://www.numdam.org/articles/10.4171/rsmup/81/
DO  - 10.4171/rsmup/81
LA  - en
ID  - RSMUP_2021__145__213_0
ER  - 
%0 Journal Article
%A Veronika Ertl
%A Kazuki Yamada
%T Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2021
%P 213-291
%V 145
%U http://www.numdam.org/articles/10.4171/rsmup/81/
%R 10.4171/rsmup/81
%G en
%F RSMUP_2021__145__213_0
Veronika Ertl; Kazuki Yamada. Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary. Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 213-291. doi : 10.4171/rsmup/81. http://www.numdam.org/articles/10.4171/rsmup/81/

Cité par Sources :