Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?

Автор: Francisco-Jesus Castro-Jimenez, David Bradley Massey, Bernard Teissier
Название: A Panorama of Singularities
ISBN: 1470447924 ISBN-13(EAN): 9781470447922
Издательство: Mare Nostrum (Eurospan)
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Цена: 100320.00 T
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Описание: This volume contains the proceedings of the conference A Panorama on Singular Varieties, celebrating the 70th birthday of Le Dung Trang, held from February 7-10, 2017, at the University of Seville, IMUS, Seville, Spain. The articles cover a wide range of topics in the study of singularities and should be of great value to graduate students and research faculty who have a basic background in the theory of singularities. This book is published in cooperation with Real Sociedad Matematica Espanola.

Автор: Nicaise Johannes, Bourqui David, Sebag Julien
Название: ARC Schemes and Singularities
ISBN: 1786347199 ISBN-13(EAN): 9781786347190
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.

Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 110714972X ISBN-13(EAN): 9781107149724
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 1107065623 ISBN-13(EAN): 9781107065628
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: 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.

Автор: Aron Simis
Название: Commutative Algebra
ISBN: 3110616971 ISBN-13(EAN): 9783110616972
Издательство: Walter de Gruyter
Цена: 64400.00 T
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This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods.

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3319968262 ISBN-13(EAN): 9783319968261
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
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Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.

Автор: Igor Burban, Yuriy Drozd
Название: Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems
ISBN: 1470425378 ISBN-13(EAN): 9781470425371
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Develops a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, the authors give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen-Macaulay modules.

Автор: Raimundo Nonato Araujo dos Santos, Victor Hugo Jorge Perez, Takashi Nishimura, Osamu Saeki
Название: School on Real and Complex Singularities in Sao Carlos, 2012
ISBN: 4864970300 ISBN-13(EAN): 9784864970303
Издательство: Mare Nostrum (Eurospan)
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Цена: 125670.00 T
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Описание: Topics treated in this volume cover a wide range, including topology and geometry of real singularities, singularities of holomorphic map-germs, singularities of complex algebraic sets, algorithms of the computer algebra "SINGULAR", singularities of maps and characteristic classes, and limit cycles of systems of ordinary differential equations.

Автор: Antonio Campillo Lopez; Luis Narvaez Macarro
Название: Algebraic Geometry and Singularities
ISBN: 3034898703 ISBN-13(EAN): 9783034898706
Издательство: Springer
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Цена: 93160.00 T
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Описание: The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study of singularities and its connections with differential systems and deformation or perturbation theo- ries. Two expository papers (Maisonobe-Briam;on: 'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he- ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per- turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one ( 10nd) com- plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

Автор: Koike Satoshi Et Al
Название: Topics On Real And Complex Singularities
ISBN: 9814596035 ISBN-13(EAN): 9789814596039
Издательство: World Scientific Publishing
Цена: 100320.00 T
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Описание: A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings.This is a volume on the proceedings of the fourth Japanese-Australian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and state-of-the-art effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians.

Автор: Linsen Chou
Название: Algebraic Geometry and Commutative Algebra
ISBN: 1681171821 ISBN-13(EAN): 9781681171821
Издательство: Gazelle Book Services
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Цена: 203050.00 T
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Описание: Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. The major objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves and quartic curves like lemniscates, and Cassini ovals. Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Commutative algebra is the main technical tool in the local study of schemes. The study of rings which are not necessarily commutative is known as noncommutative algebra; it includes ring theory, representation theory, and the theory of Banach algebras. This textbook provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. This book explores into the rich interplay between algebraic geometry and commutative algebra.