Positivity In Algebraic Geometry I

Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 45,9 Mb
Release : 2004-08-24
Category : History
ISBN : 3540225331

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Positivity in Algebraic Geometry I by R.K. Lazarsfeld Pdf

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.

Author : R.K. Lazarsfeld
Publisher : Springer
Page : 385 pages
File Size : 51,5 Mb
Release : 2017-07-25
Category : Mathematics
ISBN : 9783642188107

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Positivity in Algebraic Geometry II by R.K. Lazarsfeld Pdf

Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments

Author : Robert Lazarsfeld
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2004
Category : Geometry, Algebraic
ISBN : OCLC:56492477

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Positivity in Algebraic Geometry by Robert Lazarsfeld Pdf

Author : Anonim
Publisher : Unknown
Page : 387 pages
File Size : 40,7 Mb
Release : 2004
Category : Geometry, Algebraic
ISBN : OCLC:873449447

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Positivity in Algebraic Geometry by Anonim Pdf

Author : Robert Lazarsfeld
Publisher : Unknown
Page : 404 pages
File Size : 44,9 Mb
Release : 2011-04-13
Category : Geometry, Algebraic
ISBN : 3642188117

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Positivity in algebraic geometry by Robert Lazarsfeld Pdf

Author : R.K. Lazarsfeld
Publisher : Springer
Page : 387 pages
File Size : 52,6 Mb
Release : 2017-07-25
Category : Mathematics
ISBN : 9783642188084

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Positivity in Algebraic Geometry I by R.K. Lazarsfeld Pdf

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.

Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 55,7 Mb
Release : 2004-08-24
Category : Mathematics
ISBN : 354022534X

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Positivity in algebraic geometry 2 by R.K. Lazarsfeld Pdf

This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".

Author : Victoria Powers
Publisher : Springer Nature
Page : 161 pages
File Size : 48,5 Mb
Release : 2021-11-26
Category : Mathematics
ISBN : 9783030855475

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Certificates of Positivity for Real Polynomials by Victoria Powers Pdf

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19th century on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and other fields, it is desirable to have methods for finding, describing, and characterizing them. For many of the topics covered in this book, appropriate algorithms, computational methods, and applications are discussed. This volume contains a comprehensive, accessible, up-to-date treatment of certificates of positivity, written by an expert in the field. It provides an overview of both the theory and computational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers who are not specialists can learn about this fascinating subject. Furthermore, researchers who work on certificates of positivity or use them in applications will find this a useful reference for their work.

Author : Alexander Prestel,Charles Delzell
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 50,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662046487

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Positive Polynomials by Alexander Prestel,Charles Delzell Pdf

Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.

Author : Petter Brändén,Mikael Passare,Mihai Putinar
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 55,8 Mb
Release : 2011-09-01
Category : Mathematics
ISBN : 9783034801423

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Notions of Positivity and the Geometry of Polynomials by Petter Brändén,Mikael Passare,Mihai Putinar Pdf

The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.

Author : Maria Alberich-Carramiñana,Carlos Galindo,Alex Küronya,Joaquim Roé
Publisher : Springer
Page : 118 pages
File Size : 45,6 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9783030000271

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Extended Abstracts February 2016 by Maria Alberich-Carramiñana,Carlos Galindo,Alex Küronya,Joaquim Roé Pdf

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.

Author : David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh
Publisher : Cambridge University Press
Page : 463 pages
File Size : 53,5 Mb
Release : 2015-11-19
Category : Mathematics
ISBN : 9781107065628

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Commutative Algebra and Noncommutative Algebraic Geometry by David Eisenbud,Srikanth B. Iyengar,Anurag K. Singh,J. Toby Stafford,Michel Van den Bergh Pdf

This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Author : Mihai Putinar,Seth Sullivant
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 50,5 Mb
Release : 2008-12-10
Category : Mathematics
ISBN : 9780387096865

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Emerging Applications of Algebraic Geometry by Mihai Putinar,Seth Sullivant Pdf

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.

Author : Joachim Hilgert,Jimmie D. Lawson,Karl-Hermann Neeb,Ernest B. Vinberg
Publisher : Walter de Gruyter
Page : 305 pages
File Size : 48,7 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110811186

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Positivity in Lie Theory by Joachim Hilgert,Jimmie D. Lawson,Karl-Hermann Neeb,Ernest B. Vinberg Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : Michel Coste,Louis Mahe,Marie-Francoise Roy
Publisher : Springer
Page : 425 pages
File Size : 50,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540473374

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Real Algebraic Geometry by Michel Coste,Louis Mahe,Marie-Francoise Roy Pdf

Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the intervening decade - see the 6 survey papers listed below. Further contributions from the participants on recent research covered real algebra and geometry, topology of real algebraic varieties and 16thHilbert problem, classical algebraic geometry, techniques in real algebraic geometry, algorithms in real algebraic geometry, semialgebraic geometry, real analytic geometry. CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology in the last ten years.- R. Parimala: Algebraic and topological invariants of real algebraic varieties.- Polotovskii, G.M.: On the classification of decomposing plane algebraic curves.- Scheiderer, C.: Real algebra and its applications to geometry in the last ten years: some major developments and results.- Shustin, E.L.: Topology of real plane algebraic curves.- Silhol, R.: Moduli problems in real algebraic geometry. Further contributions by: S. Akbulut and H. King; C. Andradas and J. Ruiz; A. Borobia; L. Br|cker; G.W. Brumfield; A. Castilla; Z. Charzynski and P. Skibinski; M. Coste and M. Reguiat; A. Degtyarev; Z. Denkowska; J.-P. Francoise and F. Ronga; J.M. Gamboa and C. Ueno; D. Gondard- Cozette; I.V. Itenberg; P. Jaworski; A. Korchagin; T. Krasinksi and S. Spodzieja; K. Kurdyka; H. Lombardi; M. Marshall and L. Walter; V.F. Mazurovskii; G. Mikhalkin; T. Mostowski and E. Rannou; E.I. Shustin; N. Vorobjov.