Canonical singularities of orders over surfaces

Abstract

We classify the possible ramification data and etale local structure of orders over surfaces with canonical singularities.

This contains major revisions, primarily to help introduce the reader to the minimal model program for orders on surfaces

Cited by in corpus (9)

• Algebraic K-theory of endomorphism rings
• Higher algebraic $K$-groups and $\mathcal{D}$-split sequences
• Quivers supporting twisted Calabi-Yau algebras
• Log terminal orders are numerically rational
• The finite dual coalgebra as a quantization of the maximal spectrum
• Four-vertex quivers supporting twisted graded Calabi-Yau algebras
• Low dimensional orders of finite representation type
• Classification of Canonical Del Pezzo Orders
• McKay correspondence for canonical orders