3 citations · 8 across the 3 of their papers we have counts for
3 papers
math.NT2021★ 3 cited
Geometric quadratic Chabauty over number fields
Pavel Čoupek, David T. -B. G. Lilienfeldt, Zijian Yao +1
This article generalizes the geometric quadratic Chabauty method, initiated over by Edixhoven and Lido, to curves defined over arbitrary number fields. The main result…
math.NT2021★ 2 cited
Monodromy and Irreducibility of Igusa Varieties
Pol van Hoften, Luciena Xiao Xiao
We determine the irreducible components of Igusa varieties for Shimura varieties of Hodge type under a mild condition and use that to compute the irreducible components of central…
math.NT2020★ 3 cited
On The Hecke Orbit Conjecture for PEL Type Shimura Varieties
Luciena Xiao Xiao
The Hecke orbit conjecture asserts that every prime-to- Hecke orbit in a Shimura variety is dense in the central leaf containing it. In this paper, we prove the conjecture for c…