3 papers
math.NT2026
Modular variants of p-adic fundamental sequence
Heng Du, Qingyuan Jiang, Yucheng Liu
In this article, we relate any Farey triangle in the extended upper half-plane to a variant of Colmez--Fontaine's fundamental lemma in -adic Hodge theory. In particular, their o…
math.AG2026
On positivity of the limit F-signature
Yuchen Liu, Suchitra Pande
We study a conjecture of Carvajal-Rojas, Schwede and Tucker which states that for a complex KLT singularity , the F-signatures of the reductions of to charac…
math.AG2026
Valuative independence for Calabi--Yau varieties
Harold Blum, Yuchen Liu
We construct valuatively independent bases for the space of sections of an ample line bundle on a log Calabi--Yau pair over a discretely valued field and the space of regular funct…