Rees algebras of modules and coherent functors
Gustav S{\ae}d\'en St{\aa}hl
TL;DR
This paper demonstrates that using the category of coherent functors simplifies the understanding of Rees algebras of modules, revealing their properties more transparently and establishing a canonical map of coherent functors.
Contribution
It introduces a new perspective on Rees algebras of modules via coherent functors, providing clearer insights and a canonical map structure.
Findings
Rees algebra properties are clearer through coherent functors
Rees algebra is induced by a canonical map of coherent functors
Enhanced understanding of Rees algebra structure
Abstract
We show that several properties of the theory of Rees algebras of modules become more transparent using the category of coherent functors rather than working directly with modules. In particular, we show that the Rees algebra is induced by a canonical map of coherent functors.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology