The Spectrum of the Singularity Category of a Category Algebra
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Abstract
Let \({\mathscr {C}}\) be a finite projective EI category and k be a field. The singularity category of the category algebra \(k{\mathscr {C}}\) is a tensor triangulated category. We compute its spectrum in the sense of Balmer.
Keywords
Finite EI category Category algebra Tensor triangulated category Triangular spectrumMathematics Subject Classification
Primary 18D10 18E30 Secondary 16D90 16G10Preview
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Acknowledgements
The author is grateful to her supervisor Professor Xiao-Wu Chen for his encouragements and discussions. This work is supported by the Project funded by China Postdoctoral Science Foundation (2018M640584), the National Natural Science Foundation of China (Nos. 11522113, 11571329, 11671174 and 11671245), and the Fundamental Research Funds for the Central Universities.
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