Extended abstracts February 2016 : positivity and valuations
著者
書誌事項
Extended abstracts February 2016 : positivity and valuations
（Trends in mathematics, Research perspectives CRM Barcelona ; v. 9）
Birkhäuser, c2018
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注記
Other editors: Carlos Galindo, Alex Küronya, Joaquim Roé
"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 Matematica (CRM) in Barcelona from February 22nd to 26th, 2016"--Back cover
Includes bibliographical references
内容説明・目次
内容説明
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 Matematica (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 Poincare 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.
目次
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 Poincare 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.
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