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arXiv · 2606.02377

Fppf descent and localizing subcategories for algebraic spaces

Pat Lank
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Abstract

We prove descendability for fppf covers of quasi-compact quasi-separated algebraic spaces. Consequently, we show that point-generatedness is detectable along fppf covers. Moreover, we classify $\otimes$-localizing subcategories of the derived category of complexes with quasi-coherent cohomology on point-generated algebraic spaces in terms of subsets of the underlying topology.

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Pat Lank. 2026-06-01. Fppf descent and localizing subcategories for algebraic spaces. https://arxiv.org/abs/2606.02377

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