9 citations · 17 across the 6 of their papers we have counts for
9 papers
Algebraic independence and difference equations over elliptic function fields
Ehud de Shalit
For a lattice Λin the complex plane, let K_Λ be the field of Λ-elliptic functions. For two relatively prime integers p (respectively q) greater than 1, consider the endomorphisms ψ…
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…
Elliptic (p,q)-difference modules
Ehud de Shalit
We study finite dimensional vector spaces over fields of elliptic functions equipped with two commuting aotomorphisms σand τinduced by isogenies of relatively prime orders. We give…
Criteria for periodicity and an application to elliptic functions
Ehud de Shalit
Let P and Q be relatively prime integers greater than 1, and f a real valued discretely supported function on a finite dimensional real vector space V. We prove that if f_{P}(x)=f(…
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…
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…