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Berkovich skeleta and birational geometry
| File | Description | Size | Format | |
|---|---|---|---|---|
 1409.5229v1.pdf | Accepted version | 225.08 kB | Adobe PDF | View/Open |
| Title: | Berkovich skeleta and birational geometry |
| Authors: | Nicaise, J |
| Item Type: | Conference Paper |
| Abstract: | We give a survey of joint work with Mircea Mustac{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. |
| Issue Date: | 31-Dec-2016 |
| Date of Acceptance: | 1-Jan-2013 |
| URI: | http://hdl.handle.net/10044/1/30656 |
| Publisher: | Simons Symposium |
| Copyright Statement: | © The Author |
| Sponsor/Funder: | Commission of the European Communities |
| Funder's Grant Number: | 306610 |
| Conference Name: | Simons Symposium on Non-Archimedean Geometry and Tropical Geometry (March 31-April 6, 2013) |
| Keywords: | 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 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |