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math.NT2025
A comparison problem for abelian surfaces and descent for symplectic orbital integrals
Thomas Rüd
To answer a question about the distribution of products of elliptic curves in isogeny classes of abelian surfaces defined over finite fields, we compute specific orbital integrals…
math.NT2024
A Projective Twist on the Hasse Norm Theorem
Thomas Rüd, Alan Bu
A finite extension of global fields satisfies the Hasse norm principle if any nonzero element of has the property that it is a norm locally if and only if it is a norm gl…
math.NT2019★ 6 cited
Counting abelian varieties over finite fields via Frobenius densities
Jeff Achter, Salim Ali Altug, Luis Garcia +3
Let be a principally polarized abelian variety over a finite field with commutative endomorphism ring; further suppose that either is ordinary or the field is prime. Mo…