17 citations · 86 across the 20 of their papers we have counts for
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math.NT2017★ 4 cited
Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups
Yifeng Liu, Yichao Tian
This article has three goals. First, we generalize the result of Deuring and Serre on the characterization of supersingular locus of modular curves to all Shimura varieties given b…
math.AG2017★ 3 cited
Monodromy map for tropical Dolbeault cohomology
Yifeng Liu
We define monodromy maps for tropical Dolbeault cohomology of algebraic varieties over non-Archimedean fields. We propose a conjecture of Hodge isomorphisms via monodromy maps, and…
math.AG2017★ 2 cited
Weight decomposition of de Rham cohomology sheaves and tropical cycle classes for non-Archimedean spaces
Yifeng Liu
We construct a functorial decomposition of de Rham cohomology sheaves, called weight decomposition, for smooth analytic spaces over non-Archimedean fields embeddable into $\mathbf{…