Extended Abstracts February 2016
Positivity and Valuations
1st Edition
Published on 3. November 2018
X, 118 pages
978-3-030-00027-1 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
X, 118 p. 12 illus., 2 illus. in color.
File size
2,32 MB
ISBN-13
978-3-030-00027-1 (9783030000271)
DOI
10.1007/978-3-030-00027-1
Schweitzer Classification
Other editions
Additional editions
Maria Alberich-Carramiñana | Carlos Galindo | Alex Küronya
Extended Abstracts February 2016
Positivity and Valuations
Book
11/2018
Birkhäuser
€53.49
Shipment within 7-9 days
Content
Newton-Okounkov Bodies of Exceptional Curve Plane Valuations non-Positive at Infinity.- Sufficient Conditions for the Finite Generation of Valuation Semigroups.- From Convex Geometry of Certain Valuations to Positivity Aspects in Algebraic Geometry.- Non-Positive at Infinity Valuations.- Very General Monomial Valuations on P2 and a Nagata Type Conjecture.- Valuations on Equicharacteristic Complete Noetherian Local Domains.- Desingularization by char(X)-Alterations.- Semigroup and Poincaré Series for Divisorial Valuations.- Computing Multiplier Ideals in Smooth Surfaces.- Notes On Divisors Computing MLD's and LCT's.- On the Containment Hierarchy for Simplicial Ideals.- The Universal Zeta Function for Curve Singularities and its Relation with Global Zeta Functions.- Algebraic Volumes of Divisors.- On Hirzebruch Type Inequalities and Applications.- On the Completion of Normal Toric Schemes over Rank One Valuation Rings.- Duality on Value Semigroups.- Notes on Local Positivity and Newton-Okounkov Bodies.- Newton-Okounkov Bodies and Reified Valuations of Higher Rank.
