Algebraic K-theory with coefficients of cyclic quotient singularities

2015/12/03 by Tabuada, Goncalo
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1512.01205

Abstract

In this short note, by combining the work of Amiot-Iyama-Reiten and Thanhoffer de Volcsey-Van den Bergh on Cohen-Macaulay modules with the previous work of the author on orbit categories, we compute the (nonconnective) algebraic K-theory with coefficients of cyclic quotient singularities.

Related

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• Applications of topological cyclic homology to algebraic K-theory
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• Detecting K-theory by cyclic homology
• A variant of algebraic K-theory