3 papers
math.NT2026
Generating sets for maximal orders in rational quaternion algebras
Kirsten Eisenträger, Eyal Z. Goren, Annamaria Iezzi +6
Given a maximal order in a rational definite quaternion algebra, and a prime coprime to the discriminant of , this paper considers subsets of $\…
math.NT2026
Detecting split surfaces, RM surfaces, and minimum walks on isogeny graphs
Eda Kırımlı, Gaurish Korpal
We study the detectability of split surfaces in isogeny graphs of principally polarized superspecial abelian surfaces, a question relevant to the security analysis of dimension-…
math.NT2026
Refined Humbert Invariants in Supersingular Isogeny Degree Analysis
Eda Kırımlı, Gaurish Korpal
We focus on refined Humbert invariants of principally polarized superspecial abelian surfaces, introduced by Kani in 1994. The main contributions are to enumerate principal polariz…