Equivalence classes of Latin squares and nets in CP^2

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dc.creatorDunn, Corey
dc.creatorMiller, Matthew S.
dc.creatorWakefield, Max
dc.creatorZwicknagl, Sebastian
dc.date2007-03-06
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:31Z
dc.date.available2026-07-07T10:01:31Z
dc.descriptionThe fundamental combinatorial structure of a net in CP^2 is its associated set of mutually orthogonal latin squares. We define equivalence classes of sets of orthogonal Latin squares by label equivalences of the lines of the corresponding net in CP^2. Then we count these equivalence classes for small cases. Finally, we prove that the realization spaces of these classes in CP^2 are empty to show some non-existence results for 4-nets in CP^2.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0703142
dc.identifierhttp://arxiv.org/abs/math/0703142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168653
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject52C30; 05B30
dc.titleEquivalence classes of Latin squares and nets in CP^2
dc.typetext

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