2022/05/19 by Jack Hall, Hall, Jack · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2205.09312
Let X be an algebraic stack with quasi-affine diagonal of finite type over a field k of characteristic 0. We extend the well-known equivalence D+(QCoh(X)) ≃ Dqc+(X) to unbounded derived categories. We also prove that if X is smooth over k, then Dqc(X) is compactly generated. We accomplish the former using the descendable algebras of Mathew. We also establish related results in positive and mixed characteristics.