Dualizing complexes for algebraic stacks
Pat Lank
TL;DR
This paper establishes the existence of dualizing complexes on a broad class of algebraic stacks, especially tame Deligne--Mumford stacks, advancing the understanding of duality theory in algebraic geometry.
Contribution
It proves the existence of dualizing complexes for tame Deligne--Mumford stacks in equicharacteristic, extending duality theory to a wider class of algebraic stacks.
Findings
Existence of dualizing complexes for tame Deligne--Mumford stacks.
Generalization of duality theory to algebraic stacks.
Applicability in equicharacteristic cases.
Abstract
We study dualizing complexes on algebraic stacks. In particular, we show their existence for (tame) Deligne--Mumford stacks of equicharacteristic in great generality.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models