S. P. Smith

activity

20012021

most citedThe Grothendieck Group of a Quantum Projective Space Bundle

12 citations · 86 across the 29 of their papers we have counts for

collaborators

36 papers

math.RA2021

Modular properties of elliptic algebras

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

Fix a pair of relatively prime integers $n > k \geq 1$ , and a point $(η ∣ τ) \in C \times H$ , where $H$ denotes the upper-half complex plane, and let ${{a\;\,b…

math.RA2020

Elliptic R-matrices and Feigin and Odesskii's elliptic algebras

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

The algebras $Q_{n, k} (E, τ)$ introduced by Feigin and Odesskii as generalizations of the 4-dimensional Sklyanin algebras form a family of quadratic algebras parametrized by coprime…

math.AG2019★ 4 cited

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 $C$ -algebras, denoted $Q_{n, k} (E, τ)$ , depending on a pair of relatively prime integers $n > k \geq 1$ , an elliptic curv…

math.AG2019★ 4 cited

Finite quotients of powers of an elliptic curve

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

Let $E$ be an elliptic curve. When the symmetric group $Σ_{g + 1}$ of order $(g + 1)!$ acts on $E^{g + 1}$ in the natural way, the subgroup $E_{0}^{g + 1}$ , consisting of those $(g + 1)$ -tuple…

math.RA2019

The characteristic variety for Feigin and Odesskii's elliptic algebras

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

This paper examines an algebraic variety that controls an important part of the structure and representation theory of the algebra $Q_{n, k} (E, τ)$ introduced by Feigin and Odesskii.…

math.RA2018

Feigin and Odesskii's elliptic algebras

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

We study the elliptic algebras $Q_{n, k} (E, τ)$ introduced by Feigin and Odesskii as a generalization of Sklyanin algebras. They form a family of quadratic algebras parametrized by c…