1.

Record Nr.

UNINA9910478879303321

Titolo

Tropical and non-Archimedean geometry : Bellairs Workshop in Number Theory, May 6-13, 2011, Bellairs Research Institute, Holetown, Barbados / / Omid Amini, Matthew Baker, Xander Faber, editors

Pubbl/distr/stampa

Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathématiques, , 2013

©2013

ISBN

1-4704-1410-4

Descrizione fisica

1 online resource (274 p.)

Collana

Centre de Recherches Mathématiques Proceedings

Contemporary Mathematics, , 1098-3627 ; ; Volume 605

Disciplina

516.3/5

Soggetti

Tropical geometry

Geometry, Analytic

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Fewnomial systems with many roots, and an Adelic Tau Conjecture""""1. Introduction""; ""2. Applications and new conjectures on straight-line programs""; ""3. Background: from triangles to toric deformations and tropical varieties""; ""4. Proving our main results""; ""5. Wrapping up: Invariance of   _{  }(  ,  ), and the proofs of Proposition 1.4, Theorem 1.10, and Lemmata 4.1 and 4.2""; ""Acknowledgements""; ""References""; ""Non-Archimedean Coamoebae""; ""Introduction""; ""1. Tropicalization and coamoebae""; ""2. Non-Archimedean coamoebae and phase tropical varieties""

""3. Coamoebae of tropically simple varieties""""References""; ""On the structure of non-archimedean analytic curves""; ""1. Introduction""; ""2. The skeleton of a generalized annulus""; ""3. Semistable decompositions and skeleta of curves""; ""4. Relation with semistable models""; ""5. The metric structure on an analytic curve""; ""References""; ""Non-archimedean uniformization and monodromy pairing""; ""1. Introduction""; ""2. Notation""; ""3. Monodromy pairing""; ""4. Tate curves""; ""5. Uniformization of abelian varieties""; ""6. Uniformization of curves""



""7. Uniformization of Jacobian varieties""""8. Arithmetic Schottky groups""; ""Acknowledgements""; ""References""; ""Diophantine geometry and analytic spaces""; ""1. Introduction""; ""2. The standard height function""; ""3. Heights for line bundles, canonical heights""; ""4. Level sets for the canonical height""; ""5. Equidistribution (arithmetic case)""; ""6. Measures on analytic spaces""; ""7. Bogomolov�s conjecture for totally degenerate abelian varieties""; ""Acknowledgements""; ""References""; ""Tropicalizing vs. compactifying the Torelli morphism""; ""1. Introduction""