Approaching Some Problems in Finite Geometry Through Algebraic Geometry

G. Eric Moorhouse ()
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G. Eric Moorhouse: University of Wyoming, Department of Mathematics

A chapter in Algorithmic Algebraic Combinatorics and Gröbner Bases, 2009, pp 285-296 from Springer

Abstract: Summary In the study of finite geometries one often requires knowledge of the ranks of related (0,1)-incidence matrices. We describe some of the combinatorial questions in finite geometry for which formulas for these ranks are useful; and we describe methods from algebraic geometry that are useful in obtaining such rank formulas.

Keywords: p-Rank; Polar space; Ovoid; Spread; Hilbert function (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-01960-9_11

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DOI: 10.1007/978-3-642-01960-9_11

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