Combinatorial geometries of field extensions

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dc.creatorGismatullin, Jakub
dc.date2009-03-07
dc.date.accessioned2026-07-07T12:50:18Z
dc.date.available2026-07-07T12:50:18Z
dc.descriptionWe classify the algebraic combinatorial geometries of arbitrary field extensions of transcendence degree greater than 4 and describe their groups of automorphisms. Our results and proofs extend similar results and proofs by Evans and Hrushovski in the case of algebraically closed fields. The classification of projective planes in algebraic combinatorial geometries in arbitrary fields of characteristic zero will also be given.
dc.description11 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0903.1338
dc.identifierhttp://arxiv.org/abs/0903.1338
dc.identifierBulletin of the London Mathematical Society, 40 (2008), no. 5, 789--800
dc.identifierdoi:10.1112/blms/bdn057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222644
dc.subjectLogic
dc.subjectAlgebraic Geometry
dc.subject03C98; 51D20; 12F20; 05B35
dc.titleCombinatorial geometries of field extensions
dc.typetext

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