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arXiv · 1705.04631

Connectedness of the Balmer spectra of right bounded derived categories

Hiroki Matsui
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Abstract

By virtue of Balmer's celebrated theorem, the classification of thick tensor ideals of a tensor triangulated category $\T$ is equivalent to the topological structure of its Balmer spectrum $\spc \T$. Motivated by this theorem, we discuss connectedness and noetherianity of the Balmer spectrum of a right bounded derived category of finitely generated modules over a commutative ring.

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Hiroki Matsui. 2017-05-12. Connectedness of the Balmer spectra of right bounded derived categories. https://arxiv.org/abs/1705.04631

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