✦ LIBER ✦

A class of non-algebraic matroids of rank three

✍ Scribed by Bernt Lindström

Publisher: Springer
Year: 1987
Tongue: English
Weight: 145 KB
Volume: 23
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181312

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✦ Synopsis

We obtain an infinite class of simple non-algebraic matroids of rank 3, the minors of which are vector matroids and therefore algebraic. We prove that the matroids are nonalgebraic with the aid of a theory of harmonic conjugates in full algebraic combinatorial geometries .

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