A. Chirvasitu

activity

20172021

most citedFlat families of point schemes for connected graded algebras

1 citations · 1 across the 4 of their papers we have counts for

collaborators

9 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

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.RA2019

Projective discrete modules over profinite groups

Alexandru Chirvasitu, Ryo Kanda

We show that the category of discrete modules over an infinite profinite group has no non-zero projective objects and does not satisfy Ab4*. We also prove the same types of results…

math.AG2019

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.…