132 citations · 204 across the 31 of their papers we have counts for
5 papers · 1 filter
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…
Low dimensional orders of finite representation type
Daniel Chan, Colin Ingalls
In this paper, we study noncommutative surface singularities arising from orders. The singularities we study are mild in the sense that they have finite representation type or, equ…
Embeddings of quotient division algebras of rings of differential operators
Jason P. Bell, Colin Ingalls, Ritvik Ramkumar
Let be an algebraically closed field of characteristic zero, let and be smooth irreducible algebraic curves over , and let and denote respectively the…
Conic bundles and Clifford algebras
Daniel Chan, Colin Ingalls
We discuss natural connections between three objects: quadratic forms with values in line bundles, conic bundles and quaternion orders. We use the even Clifford algebra, and the Br…
Canonical singularities of orders over surfaces
Daniel Chan, Paul Hacking, Colin Ingalls
We classify the possible ramification data and etale local structure of orders over surfaces with canonical singularities.