Nonarchimedean and Tropical Geometry

Szerző: Matthew Baker, Sam Payne

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer International Publishing AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

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This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took pla...

Információk a könyvről

Szerző

Matthew Baker, Sam Payne

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

526

EAN

9783319809243

ISBN

9783319809243

Enbook ID

19737647

Kiadó

Springer International Publishing AG

Súly

8073

Méretek

155 x 235 x 29

Teljes leírás

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.

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Nonarchimedean and Tropical Geometry

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