Tensor t-structures on D^b_coh(X) and variants for suitable Noetherian schemes X are classified, with existence on perfect complexes detecting regularity and local-to-global principles established.
Approximability and rouquier dimension for noncommuative algebras over schemes
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
representative citing papers
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.
Inequalities bound homological dimensions across recollements in triangulated categories, extending ring-theoretic finiteness results.
citing papers explorer
-
Classification and nonexistence for $t$-structures on derived categories of schemes
Tensor t-structures on D^b_coh(X) and variants for suitable Noetherian schemes X are classified, with existence on perfect complexes detecting regularity and local-to-global principles established.
-
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.
-
Finiteness of homological dimensions in triangulated categories
Inequalities bound homological dimensions across recollements in triangulated categories, extending ring-theoretic finiteness results.