Combinatorial geometries of field extensions

Details Combinatorial geometries of field extensions Combinatorial geometries of field extensions

2009-03-07

arxiv.org/abs/0903.1338v1

Bulletin of the London Mathematical Society, 40 (2008), no. 5, 789--800

Mathematics

Logic

11 pages, 1 figure

Scientific paper

10.1112/blms/bdn057

We 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.

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