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math.NT2022
On the p-adic uniformization of quaternionic Shimura curves
Jean-Francois Boutot, Thomas Zink
Let D be a quaternion division algebra over a totally real number field F which splits exactly at one infinite place. We assume that there is a p-adic place where D doesn't split.…
math.NT2009★ 4 cited
Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic
Adrian Vasiu, Thomas Zink
Let be a prime. Let be a discrete valuation ring of mixed characteristic and index of ramification . Let be a homomorphism of finite flat co…
math.NT2008
Breuil's classification of -divisible groups over regular local rings of arbitrary dimension
Adrian Vasiu, Thomas Zink
Let be a perfect field of characteristic . We classify -divisible groups over regular local rings of the form $W(k)[[t_1,...,t_r,u]]/(u^e+pb_{e-1}u^{e-1}+...+pb_1u…