19 citations · 35 across the 12 of their papers we have counts for
17 papers
On elements of prescribed norm in maximal orders of a quaternion algebra
Eyal Z. Goren, Jonathan R. Love
Let be a maximal order in the quaternion algebra over ramified at and . We prove two theorems that allow us to recover the structure of $\mat…
Foliations on Shimura varieties in positive characteristic
Eyal Z. Goren, Ehud de Shalit
This paper is a continuation of [G-dS1]. We study foliations of two types on Shimura varieties in characteristic . The first, which we call "tautological foliations", are de…
Theta operators on unitary Shimura varieties
Ehud De Shalit, Eyal Z. Goren
We define a theta operator on p-adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which p is inert. We study its effect…
-adic Dynamics of Hecke Operators on Modular Curves
Eyal Z. Goren, Payman L Kassaei
In this paper we study the -adic dynamics of prime-to- Hecke operators on the set of points of modular curves in both cases of good ordinary and supersingular reduction. We p…
Foliations on unitary Shimura varieties in positive characteristic
Ehud De Shalit, Eyal Z. Goren
When is inert in the quadratic imaginary field and , unitary Shimura varieties of signature and a hyperspecial level subgroup at , carry a natural foliation…
On the bad reduction of certain U(2, 1) Shimura varieties
Ehud De Shalit, Eyal Z. Goren
Let be a quadratic imaginary field and let be a prime which is inert in We study three types of Picard modular surfaces in positive characteristic and the morphism…