Canonical dimension of projective PGL_1(A)-homogeneous varieties

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dc.creatorMathews, Bryant G.
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:27Z
dc.date.available2026-07-07T12:58:27Z
dc.descriptionLet A be a central division algebra over a field F with ind A = n. In computing canonical p-dimension of projective PGL_1(A)-homogeneous varieties, for p prime, we can reduce to the case of generalized Severi-Brauer varieties X_e(A) with ind A a power of p divisible by e. We prove that canonical 2-dimension (and hence canonical dimension) equals dimension for all X_e(A) with ind A = 2e a power of 2.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0903.5314
dc.identifierhttp://arxiv.org/abs/0903.5314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225246
dc.subjectAlgebraic Geometry
dc.titleCanonical dimension of projective PGL_1(A)-homogeneous varieties
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