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.
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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 
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     author = {Ertl, Veronika and Yamada, Kazuki},
     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/}
}
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Ertl, Veronika; Yamada, Kazuki. 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/

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