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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.…
Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
The elliptic algebras in the title are connected graded -algebras, denoted , depending on a pair of relatively prime integers , an elliptic curv…
Finite quotients of powers of an elliptic curve
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
Let be an elliptic curve. When the symmetric group of order acts on in the natural way, the subgroup , consisting of those -tuple…
Classification of categorical subspaces of locally noetherian schemes
Ryo Kanda
We classify the prelocalizing subcategories of the category of quasi-coherent sheaves on a locally noetherian scheme. In order to give the classification, we introduce the notion o…