Extended Abstracts February 2016

Positivity and Valuations

  • Maria Alberich-Carramiñana
  • Carlos Galindo
  • Alex Küronya
  • Joaquim Roé
Conference proceedings

Part of the Trends in Mathematics book series (TM, volume 9)

Also part of the Research Perspectives CRM Barcelona book sub series (RPCRMB, volume 9)

Table of contents

  1. Front Matter
    Pages i-x
  2. Carlos Galindo, Francisco Monserrat, Julio José Moyano-Fernández, Matthias Nickel
    Pages 1-7
  3. Francisco Monserrat
    Pages 27-32
  4. Guillem Blanco, Ferran Dachs Cadefau
    Pages 57-63
  5. Magdalena Lampa-Baczyńska, Grzegorz Malara
    Pages 71-74
  6. Carsten Bornträger, Matthias Nickel
    Pages 83-87
  7. Laura Tozzo
    Pages 99-104
  8. Harold Blum, Grzegorz Malara, Georg Merz, Justyna Szpond
    Pages 105-111
  9. Alberto Camara, Iago Giné, Roberto Gualdi, Nikita Kalinin, Joaquim Roé, Martin Ulirsch et al.
    Pages 113-118

About these proceedings


This volume contains extended abstracts outlining selected talks and other selected presentations given by participants of the workshop "Positivity and Valuations", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 22nd to 26th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and the outcome of work in groups initiated during the workshop.

The general subject is the application of valuation theory to positivity questions in algebraic geometry. The topics covered range from purely algebraic problems like finite generation of semigroups and algebras defined by valuations, and properties of the associated Poincaré series, to more geometric questions like resolution of singularities and properties of Newton-Okounkov bodies, linked with non-archimedean geometry and tropical geometry.

The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.


algebraic geometry valuations positivity linear series tropical geometry nonarchimedean geometry birational geometry newton-okounkov bodies

Editors and affiliations

  • Maria Alberich-Carramiñana
    • 1
  • Carlos Galindo
    • 2
  • Alex Küronya
    • 3
  • Joaquim Roé
    • 4
  1. 1.Departament de MatemàtiquesUniversitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.Departament de MatemàtiquesUniversity Jaume ICastellónSpain
  3. 3.Institut für MathematikGoethe-Universität FrankfurtFrankfurtGermany
  4. 4.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBellaterraSpain

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-00026-4
  • Online ISBN 978-3-030-00027-1
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site