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

Kirill Zainoulline
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Abstract

In 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.

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BibTeXRIS

Kirill Zainoulline. 1999-02-23. On Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups. https://arxiv.org/abs/math/9902132

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