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math.AG2025
Logarithmic Crystalline Representations
Zhenmou Liu, Jinbang Yang, Kang Zuo
In 1989, Faltings proved the comparison theorem between étale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his pa…
math.AG2023
Parabolic Crystalline Representations
Zhenmou Liu, Jinbang Yang, Kang Zuo
The theory of crystalline representations was established by Fontaine and Laffaille, Faltings, and others. In this paper, we develop a parabolic version of this theory. The key poi…