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Alberich-Carramiñana / Galindo / Küronya / Roé

Extended Abstracts February 2016

Positivity and Valuations

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eBook. PDF

eBook

2018

118 S. X, 118 p. 12 illus., 2 illus. in color..

In englischer Sprache

Springer International Publishing. ISBN 978-3-030-00027-1

Das Werk ist Teil der Reihe: Trends in Mathematics Research Perspectives CRM Barcelona

Produktbeschreibung

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.