3 papers
math.NT2026
Iwasawa Theory for K3 Surfaces over Finite Fields
Rikuto Ito, Sohei Tateno
In this paper, we initiate Iwasawa theory for K3 surfaces over finite fields. First, using the Artin-Tate conjecture, which is known to hold for K3 surfaces, we prove an analogue o…
math.NT2026
Motivic Modularity of CM K3 Surfaces
Rikuto Ito
The main result of this paper is the explicit construction of algebraic Hecke characters of K3 surfaces defined over a number field with complex multiplicatio…
math.NT2025
Arithmetic Period Map and Complex Multiplication for Cubic Fourfolds
Rikuto Ito
We construct an arithmetic period map for cubic fourfolds, in direct analogy with Rizov's work on K3 surfaces. For each , we introduce a Deligne-Mumford stack $\widetilde{…