An abstract characterization of noncommutative projective lines
A Nyman - Journal of Noncommutative Geometry, 2019 - ems.press
Let k be a field. We describe necessary and sufficient conditions for a k-linear abelian
category to be a noncommutative projective line, ie a noncommutative P1-bundle over a pair …
category to be a noncommutative projective line, ie a noncommutative P1-bundle over a pair …
Noncommutative linear systems and noncommutative elliptic curves
In this paper we introduce a noncommutative analogue of the notion of linear system, which
we call a helix $\underline {\mathcal {L}}≔(\mathcal {L} _ {i}) _ {i\in\mathbb {Z}} $ in an …
we call a helix $\underline {\mathcal {L}}≔(\mathcal {L} _ {i}) _ {i\in\mathbb {Z}} $ in an …
[HTML][HTML] Species and non-commutative P1's over non-algebraic bimodules
We study non-commutative projective lines over not necessarily algebraic bimodules. In
particular, we give a complete description of their categories of coherent sheaves and show …
particular, we give a complete description of their categories of coherent sheaves and show …