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math.NT2026
Brauer-Kuroda relations for ramified graph covers
Kosuke Mizuno
We establish graph-theoretic analogues of the Brauer-Kuroda relations for ramified Galois covers of finite graphs with arbitrary finite Galois groups. These formulas relate the num…
math.NT2026
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…