An abstract characterization of noncommutative projective lines
Adam NymanWestern Washington University, Bellingham, USA
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 -bundle over a pair of division rings over . As an application, we prove that , Piontkovski’s th noncommutative projective line, is the noncommutative projectivization of an -dimensional vector space.
Cite this article
Adam Nyman, An abstract characterization of noncommutative projective lines. J. Noncommut. Geom. 13 (2019), no. 2, pp. 517–552DOI 10.4171/JNCG/329