A problem with Artin's Vanishing for torsion motivic homology

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dc.creatorBondarko, M. V.
dc.date2007-11-26
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:47:52Z
dc.date.available2026-07-07T08:47:52Z
dc.descriptionThe 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/PS_cache/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.
dc.descriptionThe 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
dc.identifierhttps://arxiv.org/abs/0711.3918
dc.identifierhttp://arxiv.org/abs/0711.3918
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143750
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14F42; 14F20; 19D55
dc.titleA problem with Artin's Vanishing for torsion motivic homology
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