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arXiv · 2504.14246

Logarithmic Crystalline Representations

Zhenmou Liu·Jinbang Yang·Kang Zuo
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Abstract

In 1989, Faltings proved the comparison theorem between \'etale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his paper, he mentioned these modules and representations can be extended to the logarithmic context, but without detail. This note aims to explicitly present the construction of logarithmic Fontaine-Faltings modules and logarithmic crystalline representations.

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Zhenmou Liu, Jinbang Yang, Kang Zuo. 2025-04-19. Logarithmic Crystalline Representations. https://arxiv.org/abs/2504.14246

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