Duality for KGL-modules in motivic homotopy theory
Christian Dahlhausen, Jeroen Hekking, Storm Wolters
TL;DR
This paper establishes a duality relationship for modules over KH-theory in the stable motivic homotopy category, linking G-theory as the dualizing object over schemes of characteristic zero.
Contribution
It proves a duality theorem for KGL-modules in motivic homotopy theory with G-theory as the dualizing object, applicable to quasi-excellent schemes of characteristic zero.
Findings
Duality between KH-theory modules and G-theory in motivic homotopy category
Applicable to all quasi-excellent schemes of characteristic zero
Extends duality principles in motivic homotopy theory
Abstract
We prove a duality statement on modules over KH-theory in the stable motivic homotopy category whose dualizing object is given by G-theory, over any quasi-excellent scheme of characteristic zero.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory