The K-theory of fields in characteristic p

By Thomas H. Geisser, M. Levine. 2000

189 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1c1fc78313e3b4281907cd98b9c831f35f9380f2

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Duality via cycle complexes (2006, methodology): “To prove étale hypercohomological descent, we use the argument of Thomason [46] to reduce to finitely generated fields over k, and in this case use results of Suslin [45] for the prime to p-part, and Geisser-Levine [14] and Bloch-Kato [6] for the p-part.”
Algebraic K-Theory of Rings of Integers in Local and Global Fields (2005, unknown): “On the other hand, Geisser and Levine proved in [19] that the complementary summand is uniquely p-divisible.”
K-theory and topological cyclic homology of henselian pairs (2018, methodology): “(1) For finitely generated algebras over a perfect field, the result was shown in the smooth case by Geisser–Levine [32] and Geisser–Hesselholt [28]: in fact, both K-theory and TC vanish mod p in sufficiently large degrees.”
The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky (2001, methodology): “The new ingredient which enables us to apply the techniques of [10] to motivic cohomology is the surjectivity result of [7], Remark following Corollary 4.”
On motivic cohomology with Z/l -coefficients (2008, unknown): “Unlike Conjecture 1.1, the statement (3) also makes sense for fields of characteristic equal to l. In this context it was proved in [ 7 ] by Thomas Geisser and Marc Levine.”
Motivic cohomology with Z/2-coefficients (2003, unknown): “Unlike Conjecture 1.1, the statement (3) also makes sense for fields of characteristic equal to l. In this context it was proved in [ 7 ] by Thomas Geisser and Marc Levine.”