Degenerations of amoebae and Berkovich spaces
arXiv:1406.1430
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.
arXiv commentTo appear in Math. Ann
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