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Author: Hossein Abbaspour
Publisher: Springer Science & Business Media
ISBN: 3834896802
Category : Mathematics
Languages : en
Pages : 174
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Book Description
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.
Author: Hossein Abbaspour
Publisher: Springer Science & Business Media
ISBN: 3834896802
Category : Mathematics
Languages : en
Pages : 174
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Book Description
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.
Author: Edoardo Sernesi
Publisher: Springer Science & Business Media
ISBN: 3540306153
Category : Mathematics
Languages : en
Pages : 343
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Book Description
This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1441915966
Category : Mathematics
Languages : en
Pages : 241
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Book Description
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
Author: Yair N. Minsky
Publisher: Cambridge University Press
ISBN: 1139447211
Category : Mathematics
Languages : en
Pages : 399
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Book Description
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
Author: Thiruvalloor E. Venkata Balaji
Publisher: Universitätsverlag Göttingen
ISBN: 3941875329
Category : Complex manifolds
Languages : en
Pages : 241
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Book Description
Moduli Theory is one of those areas of Mathematics that has fascinated minds from classical to modern times. This has been so because it reveals beautiful Geometry naturally hidden in questions involving classification of geometric objects and because of the profound use of the methods of several areas of Mathematics like Algebra, Number Theory, Topology and Analysis to achieve this revelation. A study of Moduli Theory would therefore give senior undergraduate and graduate students an integrated view of Mathematics. The present book is a humble introduction to some aspects of Moduli Theory.
Author: Ali Baklouti
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110765306
Category : Mathematics
Languages : en
Pages : 498
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Book Description
This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
Author: Paul Igodt
Publisher: American Mathematical Soc.
ISBN: 082182001X
Category : Mathematics
Languages : en
Pages : 330
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Book Description
This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.
Author: Julian Lawrynowicz
Publisher: Springer Science & Business Media
ISBN: 940092643X
Category : Mathematics
Languages : en
Pages : 347
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Book Description
Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87
Author: Francisco Botana
Publisher: Springer
ISBN: 3319213628
Category : Computers
Languages : en
Pages : 191
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Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the 10th International Workshop on Automated Deduction in Geometry, ADG 2014, held in Coimbra, Portugal, in July 2014. The 11 revised full papers presented in this volume were carefully selected from 20 submissions. The papers show the trend set of current research in automated reasoning in geometry.
Author: Howe
Publisher: Springer Science & Business Media
ISBN: 1489966641
Category : Science
Languages : en
Pages : 223
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Book Description
