Extended Abstracts February 2016 Positivity and Valuations /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alberich-Carramiñana, Maria (Editor, http://id.loc.gov/vocabulary/relators/edt), Galindo, Carlos (Editor, http://id.loc.gov/vocabulary/relators/edt), Küronya, Alex (Editor, http://id.loc.gov/vocabulary/relators/edt), Roé, Joaquim (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Research Perspectives CRM Barcelona, 9
• Subjects: Algebraic geometry.; Commutative algebra.; Commutative rings.; Algebraic Geometry.; Commutative Rings and Algebras.
• Physical Description: X, 118 p. 12 illus., 2 illus. in color. online resource.
• ISBN: 9783030000271
• ISSN: 2509-7407 ;
• DOI: 10.1007/978-3-030-00027-1

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.