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arXiv · 1406.1430

Degenerations of amoebae and Berkovich spaces

Mattias Jonsson
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Abstract

We prove a continuity result for the fibers of the Berkovich analytification of a complex algebraic variety with respect to the the maximum of the Archimedean norm and the trivial norm. As a consequence, we obtain generalizations of a result of Mikhalkin and Rullgard about degenerations of amoebae onto tropical varieties.

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Mattias Jonsson. 2015-04-07. Degenerations of amoebae and Berkovich spaces. https://arxiv.org/abs/1406.1430

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