activity
20172020
most citedFlat families of point schemes for connected graded algebras

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.RA2020

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…

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 be an elliptic curve. When the symmetric group of order acts on in the natural way, the subgroup , consisting of those -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 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 introduced by Feigin and Odesskii as a generalization of Sklyanin algebras. They form a family of quadratic algebras parametrized by c…

math.RA20171 cited

Flat families of point schemes for connected graded algebras

Alex Chirvasitu, Ryo Kanda

We study truncated point schemes of connected graded algebras as families over the parameter space of varying relations for the algebras, proving that the families are flat over th…