3 papers
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…
cs.NI2024
Privacy-preserving Pseudonym Schemes for Personalized 3D Avatars in Mobile Social Metaverses
Cheng Su, Xiaofeng Luo, Zhenmou Liu +5
The emergence of mobile social metaverses, a novel paradigm bridging physical and virtual realms, has led to the widespread adoption of avatars as digital representations for Socia…
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…