Functorial Cartier duality
Amelia \'Alvarez S\'anchez, Carlos Sancho de Salas, Pedro Sancho de, Salas
TL;DR
This paper establishes a functorial approach to Cartier duality for k-schemes of commutative monoids, extending previous finite group results without relying on topological vector space structures.
Contribution
It generalizes Cartier duality to a broader class of schemes functorially, removing the need for topological vector spaces of functions.
Findings
Cartier duality is obtained functorially for k-schemes of commutative monoids.
The approach generalizes finite commutative algebraic groups results.
No topology on the vector spaces of functions is required.
Abstract
In this paper we obtain the Cartier duality for k-schemes of commutative monoids functorially without providing the vector spaces of functions with a topology, generalizing a result for finite commutative algebraic groups by M. Demazure and P. Gabriel.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models