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math.NT2023
An equivalent condition for abelian varieties over finite fields to have QM
Keisuke Arai, Yuuki Takai
In this paper, we give an equivalent condition for an abelian variety over a finite field to have multiplication by a quaternion algebra over a number field. We prove the result by…
math.NT2010
An effective isomorphy criterion for mod Galois representations
Yuuki Takai
In this paper, we consider mod Galois representations of . In particular, we obtain an effective criterion to distinguish two semisimple 2-dimensional, odd mod $…