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math.AG2023★ 1 cited
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…
math.AG2023
Constructing families of abelian varieties of -type over -punctured complex projective line via -adic Hodge theory and Langlands correspondence and application to algebraic solutions of Painleve VI equation
Jinbang Yang, Kang Zuo
we construct infinitely many non-isotrivial families of abelian varieties of -type over four punctured projective lines with bad reduction of type- via -adic…
math.AG2023
Constructing algebraic solutions of Painleve VI equation from -adic Hodge theory and Langlands Correspondence
Jinbang Yang, Kang Zuo
We construct infinitely many non-isotrivial families of abelian varieties over given four punctured projective lines. These families lead to algebraic solutions of Painleve VI equa…