Ryotaro Sakamoto

collaborators

2 papers

math.CO2026

Root lattices over totally real fields

Ryotaro Sakamoto, Miyu Suzuki, Hiroyoshi Tamori

A root lattice is a finite rank $Z$ -lattice generated by elements $x$ satisfying $x \cdot x = 2$ . It is well-known that the root lattices have an $A D E$ classification and the…

math.NT2026

$p$ -Ordinary Part of Hyperbolic Cycles on Modular Curves

Hohto Bekki, Ryotaro Sakamoto

In this paper, we study hyperbolic cycles in the first homology group with local coefficients of congruence subgroups of $SL_{2} (Z)$ . We prove that, for any prime n…

Root lattices over totally real fields

p-Ordinary Part of Hyperbolic Cycles on Modular Curves

$p$ -Ordinary Part of Hyperbolic Cycles on Modular Curves