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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
Xander Faber University of Hawaii at Manoa, Honolulu, HI
A co-publication of the AMS and Centre de Recherches Mathématiques
Tropical and Non-Archimedean Geometry
Softcover ISBN:  978-1-4704-1021-6
Product Code:  CONM/605
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1410-8
Product Code:  CONM/605.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1021-6
eBook: ISBN:  978-1-4704-1410-8
Product Code:  CONM/605.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Tropical and Non-Archimedean Geometry
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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
Xander Faber University of Hawaii at Manoa, Honolulu, HI
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-1-4704-1021-6
Product Code:  CONM/605
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1410-8
Product Code:  CONM/605.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1021-6
eBook ISBN:  978-1-4704-1410-8
Product Code:  CONM/605.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Centre de Recherches Mathématiques Proceedings
    Volume: 6052013; 256 pp
    MSC: Primary 14

    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.

  • Table of Contents
     
     
    • Articles
    • Diane Maclagan — Polyhedral structures on tropical varieties
    • Brian Osserman and Joseph Rabinoff — Lifting nonproper tropical intersections
    • Kaitlyn Phillipson and J. Maurice Rojas — Fewnomial systems with many roots, and an Adelic Tau Conjecture
    • Mounir Nisse and Frank Sottile — Non-Archimedean Coamoebae
    • Matthew Baker, Sam Payne and Joseph Rabinoff — On the structure of non-archimedean analytic curves
    • Mihran Papikian — Non-archimedean uniformization and monodromy pairing
    • Antoine Chambert-Loir — Diophantine geometry and analytic spaces
    • Filippo Viviani — Tropicalizing vs. compactifying the Torelli morphism
    • David Perkinson, Jacob Perlman and John Wilmes — Primer for the algebraic geometry of sandpiles
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Centre de Recherches Mathématiques Proceedings
Volume: 6052013; 256 pp
MSC: Primary 14

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.

  • Articles
  • Diane Maclagan — Polyhedral structures on tropical varieties
  • Brian Osserman and Joseph Rabinoff — Lifting nonproper tropical intersections
  • Kaitlyn Phillipson and J. Maurice Rojas — Fewnomial systems with many roots, and an Adelic Tau Conjecture
  • Mounir Nisse and Frank Sottile — Non-Archimedean Coamoebae
  • Matthew Baker, Sam Payne and Joseph Rabinoff — On the structure of non-archimedean analytic curves
  • Mihran Papikian — Non-archimedean uniformization and monodromy pairing
  • Antoine Chambert-Loir — Diophantine geometry and analytic spaces
  • Filippo Viviani — Tropicalizing vs. compactifying the Torelli morphism
  • David Perkinson, Jacob Perlman and John Wilmes — Primer for the algebraic geometry of sandpiles
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.