Local and Global Methods in Algebraic Geometry, Nero Budur, Tommaso de Fernex, Roi Docampo, Kevin Tucker

Автор: Peter Falb
Название: Methods of Algebraic Geometry in Control Theory: Part I
ISBN: 0817634541 ISBN-13(EAN): 9780817634544
Издательство: Springer
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Цена: 121110.00 T
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Описание: Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations.

Автор: Fabrizio Catanese; Jean-Pierre Demailly; Ciro Cili
Название: Transcendental Methods in Algebraic Geometry
ISBN: 3540620389 ISBN-13(EAN): 9783540620389
Издательство: Springer
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Цена: 41880.00 T
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Описание: Presents lectures given at the 3rd session of the Centro Internazionale Matematico Estivo, held in Cetraro, Italy, in July 1994. The topics covered include four manifolds, line bundles and manifolds of semi-positive curvature.

Автор: Falb
Название: Methods of Algebraic Geometry in Control Theory: Part I
ISBN: 3319980254 ISBN-13(EAN): 9783319980256
Издательство: Springer
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Цена: 46570.00 T
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Описание: The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry).

Автор: Benoit Fresse
Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2: The Applications of (Rational) Homotopy Theory Methods
ISBN: 1470434822 ISBN-13(EAN): 9781470434823
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.

Автор: Jean-Pierre Demailly
Название: Analytic Methods in Algebraic Geometry
ISBN: 1571462341 ISBN-13(EAN): 9781571462343
Издательство: Mare Nostrum (Eurospan)
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Цена: 50820.00 T
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Описание: Describes analytic techniques useful in the study of questions pertaining to linear series, multiplier ideals, and vanishing theorems for algebraic vector bundles. The author aims to be concise in his exposition, assuming that the reader is already somewhat acquainted with the basic concepts of sheaf theory, homological algebra, and complex differential geometry.

Автор: Guillot Pierre
Название: Gentle Course in Local Class Field Theory
ISBN: 1108432247 ISBN-13(EAN): 9781108432245
Издательство: Cambridge Academ
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Цена: 30610.00 T
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Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.

Автор: Cardona Alexander
Название: Geometric, Algebraic and Topological Methods for Quantum Fie
ISBN: 9814460044 ISBN-13(EAN): 9789814460040
Издательство: World Scientific Publishing
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Цена: 141510.00 T
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Описание: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.

Автор: Friedrich Hirzebruch; R.L.E. Schwarzenberger; R.L.
Название: Topological Methods in Algebraic Geometry
ISBN: 3540586636 ISBN-13(EAN): 9783540586630
Издательство: Springer
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Цена: 46570.00 T
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Описание: They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo- morphically complete. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory.

Автор: Falb
Название: Methods of Algebraic Geometry in Control Theory: Part II
ISBN: 3319965735 ISBN-13(EAN): 9783319965734
Издательство: Springer
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Цена: 51230.00 T
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Описание: 1 Scalar Input or Scalar Output Systems.- 2 Two or Three Input, Two Output Systems: Some Examples.- 3 The Transfer and Hankel Matrices.- 4 Polynomial Matrices.- 5 Projective Space.- 6 Projective Algebraic Geometry I: Basic Concepts.- 7 Projective Algebraic Geometry II: Regular Functions, Local Rings, Morphisms.- 8 Exterior Algebra and Grassmannians.- 9 The Laurent Isomorphism Theorem: I.- 10 Projective Algebraic Geometry III: Products, Graphs, Projections.- 11 The Laurent Isomorphism Theorem: II.- 12 Projective Algebraic Geometry IV: Families, Projections, Degree.- 13 The State Space: Realizations, Controllability, Observability, Equivalence.- 14 Projective Algebraic Geometry V: Fibers of Morphisms.- 15 Projective Algebraic Geometry VI: Tangents, Differentials, Simple Subvarieties.- 16 The Geometric Quotient Theorem.- 17 Projective Algebraic Geometry VII: Divisors.- 18 Projective Algebraic Geometry VIII: Intersections.- 19 State Feedback.- 20 Output Feedback.- Appendices.- A Formal Power Series, Completions, Regular Local Rings, and Hubert Polynomials.- B Specialization, Generic Points and Spectra.- C Differentials.- D The Space.- E Review of Affine Algebraic Geometry.- References.- Glossary of Notations.

Автор: Olga Moreira
Название: Group Majorization Methods: Extensions of Matrix Inequalities to Lie Groups
ISBN: 1773615564 ISBN-13(EAN): 9781773615561
Издательство: Mare Nostrum (Eurospan)
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Цена: 165390.00 T
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Описание: Examines various concepts of matrix and inequalities extensions. The book provides insights into matrix inequalities and their extensions to Lie Groups in order to provide a methodical and efficient account of recent important extensions of classical matrix results, especially matrix inequalities.

Автор: Nik Pachis
Название: Polyhedral and Algebraic Methods in Computational Geometry
ISBN: 1681174499 ISBN-13(EAN): 9781681174495
Издательство: Gazelle Book Services
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Цена: 203050.00 T
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Описание: Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry is a recent development, it is one of the oldest fields of computing with history stretching back to antiquity. The main impetus for the development of computational geometry as a discipline was progress in computer graphics and computer-aided design and manufacturing (CAD/CAM), but many problems in computational geometry are classical in nature, and may come from mathematical visualization. Other important applications of computational geometry include robotics, geographic information systems, integrated circuit design, computer-aided engineering, and computer vision. Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. This book is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Название: Lecture Notes on Local Rings
ISBN: 9814603651 ISBN-13(EAN): 9789814603652
Издательство: World Scientific Publishing
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Цена: 42240.00 T
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Описание:

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.