2007/11/26 by Mikhail V. Bondarko, M. V. Bondarko, Bondarko, M. V.
Mathematics · #14F20 #14F42 #19D55 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14F20 #msc:14F42 #msc:19D55
paper · pdf · doi:10.48550/arxiv.0711.3918
The paper is suspended since Theorem 2.1.1 is wrong; hence the proofs of main results contain gaps. The author hopes to correct this; at least, most of the results follow from certain "standard" motivic conjectures
openalex publication_date 2007/11/26 · arxiv created 2007/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is suspended. The reason: as was noted by prof. H. Esnault, Theorem 2.1.1 of the previous version (as well as the related Theorem 6.1.1 of http://arxiv.org/PScache/math/pdf/9908/9908037v2.pdf of D. Arapura and P. Sastry) is wrong unless one assumes H to be a generic hyperplane section. Hence the proofs of all results starting from 2.3 contain gaps. The author hopes to correct this (somehow) in a future version. At least, most of the results follow from certain "standard" motivic conjectures (see part 1 of Remark 3.2.4 in the previous version). If the author would not find a way to prove Theorems 2.3.1 and 2.3.2 (without 2.1.1), then in the next version of the preprint the results of section 4 will be deduced from certain conjectures; certainly this is not a very exiting result.