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Introduction to tropical algebraic geometry

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arxiv 1207.1925 v1 pith:5TETNNL7 submitted 2012-07-08 math.AG math.CO

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keywords geometryalgebraictropicalintroductionairesapplicationsaugustbuenos
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This is an expository introduction to tropical algebraic geometry based on my lectures at the Workshop on Tropical Geometry and Integrable Systems in Glasgow, July 4-8, 2011, and at the ELGA 2011 school on Algebraic Geometry and Applications in Buenos Aires, August 1-5, 2011.

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  1. Tropical Analysis of the Asymptotics of the Perron-Frobenius Eigenvector

    math.RA 2019-08 reject novelty 5.0 of 10

    The normalized Perron eigenvector of exp(kA) converges to a point in the tropical max-plus eigenspace, and two conjectures locate that point from the shape of the eigenspace.

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