4 citations · 15 across the 18 of their papers we have counts for
11 papers · 1 filter
Noncommutative linear systems and noncommutative elliptic curves
Daniel Chan, Adam Nyman
In this paper we introduce a noncommutative analogue of the notion of linear system, which we call a helix in an a…
Morphisms to noncommutative projective lines
D. Chan, A. Nyman
Let be a field, let be a -linear abelian category, let be a sequence of objects in , and…
A representation theoretic study of noncommutative symmetric algebras
Daniel Chan, Adam Nyman
We study Van den Bergh's noncommutative symmetric algebra (over division rings) via Minamoto's theory of Fano algebras. In particular, we show $\mathbb{S}^{nc}…
An abstract characterization of noncommutative projective lines
A. Nyman
Let be a field. We describe necessary and sufficient conditions for a -linear abelian category to be a noncommutative projective line, i.e. a noncommutative …
Witt's theorem for noncommutative conics
A. Nyman
Let k be a field. We show that all homogeneous noncommutative curves of genus zero over k are noncommutative P^1-bundles over a (possibly) noncommutative base. Using this result, w…
Noncommutative Tsen's theorem in dimension one
A. Nyman
Let k be a field. In this paper, we find necessary and sufficient conditions for a noncommutative curve of genus zero over k to be a noncommutative P^1-bundle. This result can be c…