Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Simons Symposia (SISY)
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Table of contents (12 papers)
Keywords
About this book
This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, interspersed with lively discussions and collaborative work in small groups. The articles collected here, which include high-level surveys as well as original research, mirror the main themes of the two Symposia.
Topics covered in this volume include:
- Differential forms and currents, and solutions of Monge-Ampere type differential equations on Berkovich spaces and their skeletons;
- The homotopy types of nonarchimedean analytifications;
- The existence of "faithful tropicalizations" which encode the topology and geometry of analytifications; Relations between nonarchimedean analytic spaces and algebraic geometry, including logarithmic schemes, birational geometry, and the geometry of algebraic curves;
- Extended notions of tropical varieties which relate to Huber's theory of adic spaces analogously to the way that usual tropical varieties relate to Berkovich spaces; and
- Relations
between nonarchimedean geometry and combinatorics, including deep and
fascinating connections between matroid theory, tropical geometry, and Hodge
theory.
Editors and Affiliations
Bibliographic Information
Book Title: Nonarchimedean and Tropical Geometry
Editors: Matthew Baker, Sam Payne
Series Title: Simons Symposia
DOI: https://doi.org/10.1007/978-3-319-30945-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-30944-6Published: 19 August 2016
Softcover ISBN: 978-3-319-80924-3Published: 09 June 2018
eBook ISBN: 978-3-319-30945-3Published: 18 August 2016
Series ISSN: 2365-9564
Series E-ISSN: 2365-9572
Edition Number: 1
Number of Pages: XIV, 526
Number of Illustrations: 79 b/w illustrations, 10 illustrations in colour
Topics: Algebraic Geometry