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A Representation Theorem for Generic Line Arrangements in the Plane
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In this article, we prove a representation theorem that any generic line arrangement in the plane over an ordered field can be represented isomorphically by a very generic line arrangement in the sense of C. A. Athanasiadis [2] with a given set of distinct slopes of the same cardinality.
Keywords
Ordered Fields, Line Arrangements in the Plane, Combinatorial Cycle Invariants, Elementary Collineation Transformation, Global Cyclicity, Concurrency Arrangement.
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