Tropical and Non-Archimedean Geometry

Tropical and Non-Archimedean Geometry
Author :
Publisher : American Mathematical Soc.
Total Pages : 274
Release :
ISBN-10 : 9781470410216
ISBN-13 : 1470410214
Rating : 4/5 (214 Downloads)

Book Synopsis Tropical and Non-Archimedean Geometry by : Omid Amini

Download or read book Tropical and Non-Archimedean Geometry written by Omid Amini and published by American Mathematical Soc.. This book was released on 2014-12-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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), uniformisation 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.


Tropical and Non-Archimedean Geometry Related Books

Tropical and Non-Archimedean Geometry
Language: en
Pages: 274
Authors: Omid Amini
Categories: Mathematics
Type: BOOK - Published: 2014-12-26 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 s
Nonarchimedean and Tropical Geometry
Language: en
Pages: 534
Authors: Matthew Baker
Categories: Mathematics
Type: BOOK - Published: 2016-08-18 - Publisher: Springer

DOWNLOAD EBOOK

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 Ric
Introduction to Tropical Geometry
Language: en
Pages: 378
Authors: Diane Maclagan
Categories: Mathematics
Type: BOOK - Published: 2021-12-13 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tr
Homological Mirror Symmetry and Tropical Geometry
Language: en
Pages: 445
Authors: Ricardo Castano-Bernard
Categories: Mathematics
Type: BOOK - Published: 2014-10-07 - Publisher: Springer

DOWNLOAD EBOOK

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimede
Tropical Algebraic Geometry
Language: en
Pages: 113
Authors: Ilia Itenberg
Categories: Mathematics
Type: BOOK - Published: 2009-05-30 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of