5 citations · 18 across the 12 of their papers we have counts for
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math.RA2017★ 1 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…
math.QA2017★ 3 cited
New Artin-Schelter regular and Calabi-Yau algebras via normal extensions
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
We introduce a new method to construct 4-dimensional Artin-Schelter regular algebras as normal extensions of (not necessarily noetherian) 3-dimensional ones. The method produces la…
math.QA2017
Some algebras having relations like those for the 4-dimensional Sklyanin algebras
A. Chirvasitu, S. Paul Smith
The 4-dimensional Sklyanin algebras are a well-studied 2-parameter family of non-commutative graded algebras, often denoted A(E,tau), that depend on a quartic elliptic curve E in P…