44 citations · 110 across the 20 of their papers we have counts for
22 papers
A Grothendieck category with a noetherian generator and exact products that is not a module category
Ryo Kanda
We construct a Grothendieck category that has a noetherian generator, satisfies AB4*, and is not equivalent to a module category. This gives a negative answer to Djament's problem.…
Module-theoretic approach to dualizable Grothendieck categories
Ryo Kanda
We prove that every dualizable Grothendieck category whose dual is again a Grothendieck category satisfies Grothendieck's conditions Ab6 and Ab4*, by taking a module-theoretic appr…
The symplectic leaves for the elliptic Poisson bracket on projective space defined by Feigin-Odesskii and Polishchuk
Alexandru Chirvasitu, Ryo Kanda, S. Paul Smith
This paper determines the symplectic leaves for a remarkable Poisson structure on discovered by Feigin and Odesskii, and, independently, by Polishchuk.…
Flat cotorsion modules over Noether algebras
Ryo Kanda, Tsutomu Nakamura
For a module-finite algebra over a commutative noetherian ring, we give a complete description of flat cotorsion modules in terms of prime ideals of the algebra, as a generalizatio…
Modular properties of elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
Fix a pair of relatively prime integers , and a point , where denotes the upper-half complex plane, and let ${{a\;\,b…
Elliptic R-matrices and Feigin and Odesskii's elliptic algebras
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
The algebras introduced by Feigin and Odesskii as generalizations of the 4-dimensional Sklyanin algebras form a family of quadratic algebras parametrized by coprime…