Dualizing complexes and t-structures for algebraic stacks

2026/02/24 by Pat Lank
#math.AG

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Abstract

This work is concerned with dualizing complexes on algebraic stacks. We show their existence for suitable Deligne--Mumford stacks. As an application, we classify all tensor t-structures on their bounded derived category of coherent sheaves.

Citations

• Perfect generation for regular algebraic stacks
• Derived 𝑙-adic categories for algebraic stacks

Related

• Perfectly generated t-structures for algebraic stacks
• Grothendieck Duality for Deligne-Mumford Stacks
• Self-dual T-structure
• Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line
• Dualizability of derived categories of algebraic stacks