Parshin's conjecture revisited

2007/01/23 by Thomas Geisser, Geisser, Thomas
Mathematics · #19E08 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:19E08

paper · pdf · doi:10.48550/arxiv.math/0701630

to appear in proceedings of a conference on K-theory and non-commutative geometry, Valladolid 2006

arxiv created 2008/05/21 · arxiv updated 2009/12/01

Abstract

We show that Pashin's conjecture on the vanishing of rational higher K-groups of smooth, projective varieties over finite fields can be thought of as a combination of three weaker conjectures.

Related

• Proof of the Parshin's Conjecture
• Parshin's conjecture and motivic cohomology with compact support
• A comment on the vanishing of rational motivic Borel-Moore homology
• Parshin's method and the geometric Bombieri-Lang conjecture
• Xeric varieties