Degenerations of amoebae and Berkovich spaces
Algebraic Geometry
2015-04-08 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.1406.1430,
title = {Degenerations of amoebae and Berkovich spaces},
author = {Mattias Jonsson},
journal= {arXiv preprint arXiv:1406.1430},
year = {2015}
}
Comments
To appear in Math. Ann