Dimension theory and components of algebraic stacks
Matthew Emerton, Toby Gee
TL;DR
This paper develops foundational results on the dimension theory and irreducible component multiplicities of algebraic stacks, filling gaps in the existing literature.
Contribution
It provides new basic results on the dimension and component multiplicities of algebraic stacks, which were previously not well-documented.
Findings
Established foundational results on algebraic stack dimensions.
Analyzed multiplicities of irreducible components.
Filled gaps in the literature regarding algebraic stacks.
Abstract
We prove some basic results on the dimension theory of algebraic stacks, and on the multiplicities of their irreducible components, for which we do not know a reference.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras