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math.AG2026
Verdier-Type Category, Geometric Serre's conditions and perversity
Shang Xu
We generalize Serre's conditions for coherent sheaves to triangulated categories equipped with a -structure and duality, which we call Verdier-type categories. We present exampl…
math.AG2026
Equivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures
Shang Xu
In this paper, we study maximal Cohen-Macaulay sheaves on closures of minimal nilpotent orbits in simple Lie algebras. For singularities of type , we first classify vector bun…