Algebraic And Analytic Geometry Of Fans

Author : Carlos Andradas,Jesús M. Ruiz
Publisher : American Mathematical Soc.
Page : 117 pages
File Size : 52,5 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821826126

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Algebraic and Analytic Geometry of Fans by Carlos Andradas,Jesús M. Ruiz Pdf

A set which can be defined by systems of polynomial inequalities is called semialgebraic. When such a description is possible locally around every point, by means of analytic inequalities varying with the point, the set is called semianalytic. If one single system of strict inequalities is enough, either globally or locally at every point, the set is called basic. The topic of this work is the relationship between these two notions. Namely, Andradas and Ruiz describe and characterize, both algebraically and geometrically, the obstructions for a basic semianalytic set to be basic semialgebraic. Then they describe a special family of obstructions that suffices to recognize whether or not a basic semianalytic set is basic semialgebraic. Finally, they use the preceding results to discuss the effect on basicness of birational transformations.

Author : Amnon Neeman
Publisher : Cambridge University Press
Page : 433 pages
File Size : 48,6 Mb
Release : 2007-09-13
Category : Mathematics
ISBN : 9780521709835

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Algebraic and Analytic Geometry by Amnon Neeman Pdf

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Author : Fabrizio Broglia,Margherita Galbiati,Alberto Tognoli
Publisher : Walter de Gruyter
Page : 305 pages
File Size : 46,7 Mb
Release : 2011-07-11
Category : Mathematics
ISBN : 9783110881271

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Real Analytic and Algebraic Geometry by Fabrizio Broglia,Margherita Galbiati,Alberto Tognoli Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Caroline Grant Melles,Ruth Ingrid Michler
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 50,6 Mb
Release : 2000
Category : Singularities (Mathematics)
ISBN : 9780821820056

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Singularities in Algebraic and Analytic Geometry by Caroline Grant Melles,Ruth Ingrid Michler Pdf

This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth. Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; direct-sum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces - a brief history with conjectures and open problems.

Author : W. V. D. Hodge,Daniel Pedoe
Publisher : CUP Archive
Page : 452 pages
File Size : 50,5 Mb
Release : 2024-06-30
Category : Geometry, Algebraic
ISBN : 8210379456XXX

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Methods of Algebraic Geometry by W. V. D. Hodge,Daniel Pedoe Pdf

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.

Author : Matthew Baker,Sam Payne
Publisher : Springer
Page : 526 pages
File Size : 51,8 Mb
Release : 2016-08-18
Category : Mathematics
ISBN : 9783319309453

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Nonarchimedean and Tropical Geometry by Matthew Baker,Sam Payne Pdf

This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, interspersed with lively discussions and collaborative work in small groups. The articles collected here, which include high-level surveys as well as original research, mirror the main themes of the two Symposia. Topics covered in this volume include: Differential forms and currents, and solutions of Monge-Ampere type differential equations on Berkovich spaces and their skeletons; The homotopy types of nonarchimedean analytifications; The existence of "faithful tropicalizations" which encode the topology and geometry of analytifications; Relations between nonarchimedean analytic spaces and algebraic geometry, including logarithmic schemes, birational geometry, and the geometry of algebraic curves; Extended notions of tropical varieties which relate to Huber's theory of adic spaces analogously to the way that usual tropical varieties relate to Berkovich spaces; and Relations between nonarchimedean geometry and combinatorics, including deep and fascinating connections between matroid theory, tropical geometry, and Hodge theory.

Author : Carlos Andradas,Ludwig Bröcker,Jesus M. Ruiz
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642800245

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Constructible Sets in Real Geometry by Carlos Andradas,Ludwig Bröcker,Jesus M. Ruiz Pdf

This book presents a systematic and unified report on the minimal description of constructible sets. It starts at a very basic level (almost undergraduate) and leads up to state-of-the-art results, many of which are published in book form for the very first time. The book contains numerous examples, 63 figures and each chapter ends with a section containing historical notes. The authors tried to keep the presentation as self-contained as it can possibly be.

Author : Murray A. Marshall
Publisher : Springer
Page : 191 pages
File Size : 52,8 Mb
Release : 2006-11-17
Category : Mathematics
ISBN : 9783540699965

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Spaces of Orderings and Abstract Real Spectra by Murray A. Marshall Pdf

This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.

Author : Fabrizio Broglia
Publisher : Walter de Gruyter
Page : 285 pages
File Size : 44,5 Mb
Release : 2011-10-10
Category : Mathematics
ISBN : 9783110811117

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Lectures in Real Geometry by Fabrizio Broglia 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 Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Author : Alexander Ziwet
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 1915
Category : Electronic
ISBN : OCLC:51425611

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Analytic Geometry and Principles of Algebra by Alexander Ziwet Pdf

Author : Vijaya Kumar Murty
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 51,5 Mb
Release : 1993
Category : Abelian varieties
ISBN : 9780821811795

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Introduction to Abelian Varieties by Vijaya Kumar Murty Pdf

This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study.

Author : Anonim
Publisher : Unknown
Page : 310 pages
File Size : 44,8 Mb
Release : 1992
Category : Geometry, Algebraic
ISBN : UOM:39015036971003

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Real Analytic and Algebraic Geometry by Anonim Pdf

Author : Martin W. Liebeck,Gary M. Seitz
Publisher : American Mathematical Soc.
Page : 111 pages
File Size : 48,5 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804612

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Reductive Subgroups of Exceptional Algebraic Groups by Martin W. Liebeck,Gary M. Seitz Pdf

The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.

Author : Charles N. Delzell,James J. Madden
Publisher : American Mathematical Soc.
Page : 320 pages
File Size : 46,7 Mb
Release : 2000
Category : Geometry, Algebraic
ISBN : 9780821808047

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Real Algebraic Geometry and Ordered Structures by Charles N. Delzell,James J. Madden Pdf

This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.