C?-Algebraic Geometry with Corners

C?-Algebraic Geometry with Corners PDF Author: Kelli Francis-Staite
Publisher: Cambridge University Press
ISBN: 1009400169
Category : Mathematics
Languages : en
Pages : 223

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Book Description
Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.

C?-Algebraic Geometry with Corners

C?-Algebraic Geometry with Corners PDF Author: Kelli Francis-Staite
Publisher: Cambridge University Press
ISBN: 1009400169
Category : Mathematics
Languages : en
Pages : 223

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Book Description
Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.

Algebraic Geometry Over C[infinity]-rings

Algebraic Geometry Over C[infinity]-rings PDF Author: Dominic D. Joyce
Publisher:
ISBN: 9781470453367
Category : Differentiable functions
Languages : en
Pages : 139

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Book Description


Noncommutative Geometry

Noncommutative Geometry PDF Author: Alain Connes
Publisher: Springer
ISBN: 3540397027
Category : Mathematics
Languages : en
Pages : 364

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Book Description
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Real Analytic and Algebraic Geometry

Real Analytic and Algebraic Geometry PDF Author: Fabrizio Broglia
Publisher: Walter de Gruyter
ISBN: 3110881276
Category : Mathematics
Languages : en
Pages : 305

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Book Description
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.

Algebra, Geometry and Their Interactions

Algebra, Geometry and Their Interactions PDF Author: Alberto Corso
Publisher: American Mathematical Soc.
ISBN: 0821840940
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

C^\infinity - Differentiable Spaces

C^\infinity - Differentiable Spaces PDF Author: Juan A. Navarro González
Publisher: Springer Science & Business Media
ISBN: 9783540200727
Category : Mathematics
Languages : en
Pages : 212

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Book Description
The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of C^\infinity-rings and C^\infinity-schemes, as well as in the framework of Spallek’s C^\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fréchet spaces.

3264 and All That

3264 and All That PDF Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 1107017084
Category : Mathematics
Languages : en
Pages : 633

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Book Description
3264, the mathematical solution to a question concerning geometric figures.

Elementary Algebraic Geometry

Elementary Algebraic Geometry PDF Author: Keith Kendig
Publisher: Courier Dover Publications
ISBN: 0486786080
Category : Mathematics
Languages : en
Pages : 324

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Book Description
"This second edition of an introductory text is intended for advanced undergraduate and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. Concrete examples and exercises illuminate chapters on curves, ring theory, arbitrary dimension, and other topics. Includes numerous updated figures specially redrawn for this edition. 2014 edition"--

Forward Error Correction Based On Algebraic-Geometric Theory

Forward Error Correction Based On Algebraic-Geometric Theory PDF Author: Jafar A. Alzubi
Publisher: Springer
ISBN: 3319082930
Category : Technology & Engineering
Languages : en
Pages : 77

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Book Description
This book covers the design, construction, and implementation of algebraic-geometric codes from Hermitian curves. Matlab simulations of algebraic-geometric codes and Reed-Solomon codes compare their bit error rate using different modulation schemes over additive white Gaussian noise channel model. Simulation results of Algebraic-geometric codes bit error rate performance using quadrature amplitude modulation (16QAM and 64QAM) are presented for the first time and shown to outperform Reed-Solomon codes at various code rates and channel models. The book proposes algebraic-geometric block turbo codes. It also presents simulation results that show an improved bit error rate performance at the cost of high system complexity due to using algebraic-geometric codes and Chase-Pyndiah’s algorithm simultaneously. The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time.

Classical Algebraic Geometry

Classical Algebraic Geometry PDF Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653

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Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.