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C Infinity Algebraic Geometry With Corners

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C Algebraic Geometry With Corners

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Author : Kelli Francis-Staite
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-04

C Algebraic Geometry With Corners written by Kelli Francis-Staite and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-04 with Mathematics categories.

Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.

C Infinity Algebraic Geometry With Corners

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Author : Kelli L. Francis-Staite
language : en
Publisher:
Release Date : 2019

C Infinity Algebraic Geometry With Corners written by Kelli L. Francis-Staite and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

C Infinity Algebraic Geometry With Corners

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Author : Kelli L. Francis-Staite
language : en
Publisher:
Release Date : 2019

C Algebraic Geometry With Corners

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Author : Kelli Francis-Staite
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-04

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

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Author : Dominic D. Joyce
language : en
Publisher:
Release Date : 2019

Algebraic Geometry Over C Infinity Rings written by Dominic D. Joyce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Differentiable functions categories.

Model Theory Of Fields

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Author : David Marker
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Model Theory Of Fields written by David Marker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.

This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.

C Infinity Differentiable Spaces

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Author : Juan A. Navarro González
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-29

C Infinity Differentiable Spaces written by Juan A. Navarro González and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-29 with Mathematics categories.

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.

Differential Topology

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Author : Ulrich Koschorke
language : en
Publisher: Springer
Release Date : 2006-11-14

Differential Topology written by Ulrich Koschorke and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers. They center around differential topology and, more specifically, around linking phenomena in 3, 4 and higher dimensions, tangent fields, immersions and other vector bundle morphisms. Manifold categories, K-theory and group actions are also discussed.

Noncommutative Geometry And The Standard Model Of Elementary Particle Physics

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Author : Florian Scheck
language : en
Publisher: Springer
Release Date : 2008-01-11

Noncommutative Geometry And The Standard Model Of Elementary Particle Physics written by Florian Scheck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.

The outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.

Forward Error Correction Based On Algebraic Geometric Theory

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Author : Jafar A. Alzubi
language : en
Publisher: Springer
Release Date : 2014-06-12

Forward Error Correction Based On Algebraic Geometric Theory written by Jafar A. Alzubi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Technology & Engineering categories.

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.

C Infinity Algebraic Geometry With Corners

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