Algebraic K-theory with coefficients of cyclic quotient singularities

TL;DR

This paper computes the algebraic K-theory with coefficients for cyclic quotient singularities by integrating recent advances in Cohen-Macaulay modules and orbit categories, providing new insights into their algebraic structure.

Contribution

It introduces a novel computation of algebraic K-theory with coefficients for cyclic quotient singularities using combined methods from Cohen-Macaulay modules and orbit categories.

Findings

Explicit formulas for K-theory with coefficients of cyclic quotient singularities

Connections established between Cohen-Macaulay modules and algebraic K-theory

Advancement in understanding the algebraic structure of cyclic quotient singularities

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.