Degenerations of amoebae and Berkovich spaces

作者：Jonsson Mattias^*

来源：Mathematische Annalen, 2016, 364(1-2): 293-311.

DOI：10.1007/s00208-015-1210-3

We prove a continuity result for the fibers of the Berkovich analytification of a complex algebraic variety with respect to 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.

• 出版日期2016-2