We give a survey of joint work with Mircea Musta\c{t}\u{a} and Chenyang Xu on the connections between the geometry of Berkovich spaces over the field of Laurent series and the birational geometry of one-parameter degenerations of smooth projective varieties. The central objects in our theory are the weight function and the essential skeleton of the degeneration. We tried to keep the text self-contained, so that it can serve as an introduction to Berkovich geometry for birational geometers.
CITATION STYLE
Nicaise, J. (2016). Berkovich Skeleta and Birational Geometry (pp. 173–194). https://doi.org/10.1007/978-3-319-30945-3_7
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