15 citations · 16 across the 6 of their papers we have counts for
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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…
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…
Categories of abelian varieties over finite fields I. Abelian varieties over
Tommaso Giorgio Centeleghe, Jakob Stix
We assign functorially a -lattice with semisimple Frobenius action to each abelian variety over . This establishes an equivalence of categories that descr…
Integral Tate modules and splitting of primes in torsion fields of elliptic curves
Tommaso Giorgio Centeleghe
Let be an elliptic curve over a finite field , and a prime number different from the characteristic of . In this paper we consider the problem of finding the struc…
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…
Computing the number of certain Galois representations mod
Tommaso Giorgio Centeleghe
Using the link between mod Galois representations of $\qu$ and mod modular forms established by Serre's Conjecture, we compute, for every prime , a lower bound…