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Xu Shang

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Preprint Oct 2026

Verdier-Type Category, Geometric Serre's conditions and perversity

We generalize Serre's conditions for coherent sheaves to triangulated categories equipped with a $t$-structure and duality, which we call Verdier-type categories. We present examples of such categories and their associated Serre conditions, then focus on constructible sheaves, where we refer to these conditions as geom...

Xu Shang · 0 citations

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