Parshin's conjecture and motivic cohomology with compact support

2010/01/31 by Geisser, T.
#19E08 #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1002.0105

Abstract

We discuss Parshin's conjecture on rational K-theory over finite fields and its implications for motivic cohomology with compact support.

Related

• Proof of the Parshin's Conjecture
• Motivic cohomology and algebraic K-theory of some surfaces over finite fields
• A comment on the vanishing of rational motivic Borel-Moore homology
• Parshin's conjecture revisited
• Kato conjecture and motivic cohomology over finite fields