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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…
Distributions of Iwasawa -invariants of -towers over supersingular isogeny graphs
Taiga Adachi, Kosuke Mizuno, Ryosuke Murooka +1
A graph-theoretic analogue of Iwasawa theory, initiated by Gonet and Vallières, has attracted considerable interest in the study of Iwasawa invariants. On the other hand, for a pai…
Iwasawa theory for weighted graphs
Taiga Adachi, Kosuke Mizuno, Sohei Tateno
Let be a prime number and let be a positive integer. In this paper, we generalize Iwasawa theory for graphs initiated by Gonet and Vallières to weighted graphs. In particul…
On Iwasawa's class number formula for -extensions
Sohei Tateno
Let be a prime number. In this paper, we estimate the variation of the sizes of quotients of certain finitely generated -torsion Iwasawa modules, which are closely related t…