19 citations · 35 across the 22 of their papers we have counts for
22 papers
Some terminal orders on 3-folds
Daniel Chan, Colin Ingalls
We produce the first known examples of non-trivial terminal local orders in the 3-dimensional case. We exhibit two different constructions. The first produces maximal orders with g…
Two-periodic elliptic helices: classification and geometry
Daniel Chan, Adam Nyman
Let denote an algebraically closed field of characteristic zero and let denote a smooth elliptic curve over . In this paper, motivated by work in \cite{CN}, we think of…
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…
Terminal orders on arithmetic surfaces
Daniel Chan, Colin Ingalls
The local structure of terminal Brauer classes on arithmetic surfaces were classified in [CI21] generalising the classification on geometric surfaces carried out in [CI05]. Part of…
The minimal model program for arithmetic surfaces enriched by a Brauer class
Daniel Chan, Colin Ingalls
We examine the noncommutative minimal model program for orders on arithmetic surfaces, or equivalently, arithmetic surfaces enriched by a Brauer class . When has prime index…
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…