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Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form

Izhakian, Zur ; Knebusch, Manfred



Abstract

Relying on rays, we search for submodules of a module V over a supertropical semiring on which a given anisotropic quadratic form is quasilinear. Rays are classes of a certain equivalence relation on V, that carry a notion of convexity, which is consistent with quasilinearity. A criterion for quasilinearity is specified by a Cauchy-Schwartz ratio which paves the way to a convex geometry on ...

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