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Titlebook: Extended Abstracts February 2016; Positivity and Valua Maria Alberich-Carramiñana,Carlos Galindo,Joaquim Conference proceedings 2018 Sprin

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发表于 2025-3-21 18:43:15 | 显示全部楼层 |阅读模式
书目名称Extended Abstracts February 2016
副标题Positivity and Valua
编辑Maria Alberich-Carramiñana,Carlos Galindo,Joaquim
视频video
概述Presents new results of active areas in algebraic geometry.Covers a wide range of topics.Includes open problems
丛书名称Trends in Mathematics
图书封面Titlebook: Extended Abstracts February 2016; Positivity and Valua Maria Alberich-Carramiñana,Carlos Galindo,Joaquim  Conference proceedings 2018 Sprin
描述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..
出版日期Conference proceedings 2018
关键词algebraic geometry; valuations; positivity; linear series; tropical geometry; nonarchimedean geometry; bir
版次1
doihttps://doi.org/10.1007/978-3-030-00027-1
isbn_softcover978-3-030-00026-4
isbn_ebook978-3-030-00027-1Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Non-positive at Infinity Valuations,the author, at the Workshop on Positivity and Valuations, held from 22 to 26, February, at Centre de Recerca Matemàtica (Barcelona). We consider surfaces . defined by plane divisorial valuations . of the quotient field of the local ring . at a closed point . of the projective plane . over an arbitra
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Valuations on Equicharacteristic Complete Noetherian Local Domains,eight, or monomial valuation, and a surjection . such that the valuation . is induced by the weight on . in the sense that . is the maximum weight of counterinages of . in .. Moreover, the kernel of . is generated by overweight deformations of binomials corresponding to a generating system of the re
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Desingularization by char,-Alterations,ent work (Temkin, Tame distillation and desingularization by .-alterations, [.]), in which I prove that any qe integral Noetherian scheme . can be desingularized by an alteration . whose degree . is only divisible by primes non-invertible on .. I had already reported on this work in the Oberwolfach
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,Semigroup and Poincaré Series for Divisorial Valuations,the Poincaré series associated to ., assuming that . has a finite generating sequence. First, if . is infinite, this semigroup is finitely generated. Secondly, for any ., the Poincaré series associated to . is a rational function whose denominator can be expressed in terms of the valuation vectors o
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On the Completion of Normal Toric Schemes Over Rank One Valuation Rings,zed this result to the setting of normal toric schemes over valuation rings of rank one. The later generalize in a natural way the notion of toric varieties and give a general framework for the study of toric degenerations.
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