Purity for Similarity Factors

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dc.creatorPanin, Ivan
dc.date2003-09-03
dc.date.accessioned2026-07-07T05:00:49Z
dc.date.available2026-07-07T05:00:49Z
dc.descriptionTwo Azumaya algebras with involutions are considered over a regular local ring. It is proved that if they are isomorphic over the quotient field, then they are isomorphic too. In particular, if two quadratic spaces over such a ring are similar over its quotient field, then these two spaces are similar already over the ring. The result is a consequence of a purity theorem for similarity factors proved in this text and the known fact that rationally isomorphic hermitian spases are locally isomorphic.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0309054
dc.identifierhttp://arxiv.org/abs/math/0309054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68458
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject11E72
dc.titlePurity for Similarity Factors
dc.typetext

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