Rouquier dimension versus global dimension

2024/10/07 by Stevenson, Greg · 3 citations
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.04793

Abstract

We give an example of a commutative coherent ring of infinite global dimension such that the category of perfect complexes has finite Rouquier dimension.

Cited by

• Intrinsic homological algebra for triangulated categories
• Frobenius generation for algebraic stacks
• Torsion and complete dualizable objects in tensor-triangulated categories over a Noetherian ring

Related

• The Rouquier dimension of the category of perfect complexes over a regular ring
• Approximation by perfect complexes detects Rouquier dimension
• Strong global dimension of commutative rings and schemes
• Cartier Crystals have finite global dimension
• Generators and dimensions of derived categories