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Skeletons and tropicalizations

Gubler, Walter ; Rabinoff, Joseph ; Werner, Annette



Abstract

Let K be a complete, algebraically closed non-archimedean field with ring of integers K-o and let X be a K-variety. We associate to the data of a strictly semistable K-model X of X plus a suitable horizontal divisor H a skeleton S(K, H) in the analytification of X. This generalizes Berkovich's original construction by admitting unbounded faces in the directions of the components of H. It also ...

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