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arXiv · 2003.02935

Relative stable categories and birationality

Paul Balmer·Greg Stevenson
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Abstract

We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly in the tensor-triangular setting. We prove a birationality result showing that the original category and its relative stable quotient are equivalent on some open piece of their spectrum.

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Paul Balmer, Greg Stevenson. 2021-07-13. Relative stable categories and birationality. https://doi.org/10.1112/jlms.12474

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