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Tropical and Non-Archimedean Geometry
Edited by: Omid Amini, École Normale Supérieure, Paris, France, Matthew Baker, Georgia Institute of Technology, Atlanta, GA, and Xander Faber, University of Hawaii at Manoa, Honolulu, HI
A co-publication of the AMS and Centre de Recherches Mathématiques.
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Contemporary Mathematics
2013; 256 pp; softcover
Volume: 605
ISBN-10: 1-4704-1021-4
ISBN-13: 978-1-4704-1021-6
List Price: US$89
Member Price: US$71.20
Order Code: CONM/605
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Over the past decade, it has become apparent that tropical geometry and non-Archimedean geometry should be studied in tandem; each subject has a great deal to say about the other.

This volume is a collection of articles dedicated to one or both of these disciplines. Some of the articles are based, at least in part, on the authors' lectures at the 2011 Bellairs Workshop in Number Theory, held from May 6-13, 2011, at the Bellairs Research Institute, Holetown, Barbados.

Lecture topics covered in this volume include polyhedral structures on tropical varieties, the structure theory of non-Archimedean curves (algebraic, analytic, tropical, and formal), uniformization theory for non-Archimedean curves and abelian varieties, and applications to Diophantine geometry. Additional articles selected for inclusion in this volume represent other facets of current research and illuminate connections between tropical geometry, non-Archimedean geometry, toric geometry, algebraic graph theory, and algorithmic aspects of systems of polynomial equations.

This book is co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and research mathematicians interested in tropical or non-archimedean geometry and algebraic graph theory.

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