Berkovich skeleta and birational geometry
File(s)1409.5229v1.pdf (225.08 KB)
Accepted version
Author(s)
Nicaise, J
Type
Conference Paper
Abstract
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.
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.
Editor(s)
Baker, M
Payne, S
Date Issued
2016
Date Acceptance
2013-01-01
Citation
Nonarchimedean and Tropical Geometry, 2016, pp.173-194
Publisher
Springer
Start Page
173
End Page
194
Journal / Book Title
Nonarchimedean and Tropical Geometry
Simons Symposia
Copyright Statement
© The Author
Sponsor
Commission of the European Communities
Identifier
http://arxiv.org/abs/1409.5229v1
Grant Number
306610
Source
Simons Symposium on Non-Archimedean Geometry and Tropical Geometry (March 31-April 6, 2013)
Subjects
math.AG
math.AG
Notes
These are expanded lecture notes of a talk at the Simons Symposium on Non-Archimedean Geometry and Tropical Geometry (March 31-April 6, 2013). They have been submitted to the conference proceedings
Publication Status
Published
Start Date
2013-03-31
Finish Date
2013-04-06