Duality for integral motivic cohomology
Thomas H. Geisser
TL;DR
This paper explores duality pairings in integral étale motivic cohomology for various types of schemes over different fields, enhancing understanding of their structural properties.
Contribution
It introduces a comprehensive analysis of duality pairings in integral étale motivic cohomology across multiple classes of schemes and fields.
Findings
Established duality pairings for integral étale motivic cohomology.
Extended duality concepts to schemes over algebraically closed, local, finite, and arithmetic fields.
Provided new insights into the structure of motivic cohomology groups.
Abstract
We discuss duality pairings on integral \'etale motivic cohomology groups of regular and proper schemes over algebraically closed fields, local fields, finite fields, and arithmetic schemes.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics