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über Symmetrische (k,n)-Kurven in Endlichen Ebenen

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Abstract

In this paper we get necessary conditions for the existence of (k,n)-arcs K with the following property: Each point of K is incident with exactly m lines intersecting K in exactly m points. We prove that the set of tangent lines of such arcs forms an arc of the same type in the dual plane. Moreover we determine an upper bound for k for the existence of m-regular (k,n)-arcs.

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  1. Institut für Geometrie, Technische Universität, Arcisstr. 21, 8000, München 2

    Heinz-Richard Halder

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  1. Heinz-Richard Halder
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Halder, HR. über Symmetrische (k,n)-Kurven in Endlichen Ebenen. J Geom 5, 147–157 (1974). https://doi.org/10.1007/BF01949679

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  • DOI: https://doi.org/10.1007/BF01949679

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