A converse to Mazur's inequality for split classical groups

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dc.creatorLeigh, Catherine
dc.date2002-11-20
dc.date.accessioned2026-07-07T04:53:08Z
dc.date.available2026-07-07T04:53:08Z
dc.descriptionGiven a lattice in an isocrystal, Mazur's inequality states that the Newton point of the isocrystal is less than or equal to the invariant measuring the relative position of the lattice and its transform under Frobenius. Conversely, it is known that any potential invariant allowed by Mazur's inequality actually arises from some lattice. These can be regarded as statements about the group $GL_n$. This paper proves an analogous converse theorem for all split classical groups.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0211327
dc.identifierhttp://arxiv.org/abs/math/0211327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65734
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14L05;11S25,14F30,20G25
dc.titleA converse to Mazur's inequality for split classical groups
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