Titlebook: Nonarchimedean and Tropical Geometry; Matthew Baker,Sam Payne Conference proceedings 2016 Springer International Publishing Switzerland 20

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Analytification and Tropicalization Over Non-archimedean Fields, of Berkovich. After briefly discussing results by Baker et?al.?(Algebr. Geom. ., 63–105 (2016); Contemporary Mathematics, vol?605, pp?93–121. American Mathematical Society, Providence, 2013) in the case of curves, we explain a result from Cueto et?al.?(Math. Ann. ., 391–437 (2014)) comparing the tr

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Berkovich Skeleta and Birational Geometry,nt series and the birational geometry of one-parameter degenerations of smooth projective varieties. The central objects in our theory are the . and the . of the degeneration. We tried to keep the text self-contained, so that it can serve as an introduction to Berkovich geometry for birational geome

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Matroid Theory for Algebraic Geometers,lane arrangements. Not all matroids come from linear subspaces; those that do are said to be .. Still, one may apply linear algebraic constructions to non-representable matroids. There are a number of different definitions of matroids, a phenomenon known as .. In this survey, we begin by reviewing t

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Sébastien Boucksom,Charles Favre,Mattias Jonssons in basic biological understanding into a practical clinica.Melanoma is an increasingly important public health problem. Although the cause of most malignant melanomas – over-exposure to ultraviolet light – is well known, effective treatment has remained challenging..The past several years have bee

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Kiran S. Kedlayas in basic biological understanding into a practical clinica.Melanoma is an increasingly important public health problem. Although the cause of most malignant melanomas – over-exposure to ultraviolet light – is well known, effective treatment has remained challenging..The past several years have bee