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math.AG2026
On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness
Lucas Hamada
Bands and idylls are algebraic structures introduced recently by M. Baker, N. Bowler, T. Jin, and O. Lorscheid in the context of matroid theory. Bands generalize hyperrings and pro…
math.AG2025
A Tate algebra version of the Jacobian Conjecture
Lucas Hamada, Kazuki Kato, Ryo Komiya
This paper investigates a Tate algebra version of the Jacobian conjecture, referred to as the Tate-Jacobian conjecture, for commutative rings equipped with an -adic topology…