3 papers
math.NT2021
Categories of abelian varieties over finite fields II: Abelian varieties over finite fields and Morita equivalence
Tommaso Giorgio Centeleghe, Jakob Stix
The category of abelian varieties over is shown to be anti-equivalent to a category of -lattices that are modules for a non-commutative pro-ring of endom…
math.NT2017
Integral Frobenius for Abelian Varieties with Real Multiplication
Tommaso Giorgio Centeleghe, Christian Theisen
In this paper we introduce the concept of to formulate an integral analogue of the classical compatibility condition linking the collection…
math.NT2011
On certain cusp forms on a definite quaternion algebra
Tommaso Giorgio Centeleghe
If is the definite quaternion algebra over $\qu$ of discriminant , we compute, for any prime , the number of infinite dimensional cusp forms on which are trivial…