For smooth, separated, quasi-DM stacks over a regular affine scheme, the diagonal dimension is bounded by a formula in dim R, dim U, and cd(Y); for varieties with mild singularities it is at most 2·dim X.
Descending strong generation in algebraic geometry
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.
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Remarks on diagonal dimension for algebraic stacks
For smooth, separated, quasi-DM stacks over a regular affine scheme, the diagonal dimension is bounded by a formula in dim R, dim U, and cd(Y); for varieties with mild singularities it is at most 2·dim X.
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Localizing subcategories for algebraic stacks
Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.