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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



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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 Visualizza cluster
Pubblicazione: Providence, Rhode Island ; ; Montréal, Québec : , : American Mathematical Society : , : Centre de Recherches Mathématiques, , 2013
©2013
Descrizione fisica: 1 online resource (274 p.)
Disciplina: 516.3/5
Soggetto topico: Tropical geometry
Geometry, Analytic
Soggetto genere / forma: Electronic books.
Persona (resp. second.): AminiOmid <1980->
BakerMatthew <1973->
FaberXander
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""
Titolo autorizzato: Tropical and non-Archimedean geometry  Visualizza cluster
ISBN: 1-4704-1410-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910478879303321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; Volume 605.