On Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups

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dc.creatorZainoulline, Kirill
dc.date1999-02-23
dc.date.accessioned2026-07-07T05:28:00Z
dc.date.available2026-07-07T05:28:00Z
dc.descriptionIn the present paper we investigate the question about the injectivity of the map F(R) --> F(K) induced by the canonical inclusion of a local regular ring of geometric type R to its field of fractions K for a homotopy invariant functor F with transfers satisfying some additional properties. As an application we get the original proof of Special Unitary Case of Grothendieck's conjecture about principal homogeneous spaces and some other interesting examples.
dc.descriptionAMS-TeX v2.1, 28 pages
dc.identifierhttps://arxiv.org/abs/math/9902132
dc.identifierhttp://arxiv.org/abs/math/9902132
dc.identifierSt.Petersburg Math. J. 12(1), 2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78139
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectGroup Theory
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.titleOn Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups
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