Parshin's conjecture and motivic cohomology with compact support
T.Geisser
TL;DR
This paper explores Parshin's conjecture related to rational K-theory over finite fields and examines its implications for motivic cohomology with compact support, aiming to deepen understanding of algebraic K-theory and motivic cohomology.
Contribution
It provides new insights into Parshin's conjecture and its impact on motivic cohomology with compact support, connecting conjectural aspects of K-theory to motivic theories.
Findings
Analysis of Parshin's conjecture implications
Connections established between K-theory and motivic cohomology
Potential progress towards understanding motivic cohomology with compact support
Abstract
We discuss Parshin's conjecture on rational K-theory over finite fields and its implications for motivic cohomology with compact support.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry