New Trends In Algebraic Geometry
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New Trends In Algebraic Geometry
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Author : Klaus Hulek
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-13
New Trends In Algebraic Geometry written by Klaus Hulek 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 1999-05-13 with Mathematics categories.
This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.
Contemporary Trends In Algebraic Geometry And Algebraic Topology
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Author : Shiing-Shen Chern
language : en
Publisher: World Scientific
Release Date : 2002
Contemporary Trends In Algebraic Geometry And Algebraic Topology written by Shiing-Shen Chern and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.
New Trends In Algebraic Geometry
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Author : Klaus Hulek
language : en
Publisher:
Release Date : 2014-05-14
New Trends In Algebraic Geometry written by Klaus Hulek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Geometry categories.
Seventeen articles from the most outstanding contemporary topics in algebraic geometry.
New Trends In Algebraic Geometry And Its Applications
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Author : Sonia P ́erez-D ́ıaz
language : en
Publisher: Mdpi AG
Release Date : 2021-10-29
New Trends In Algebraic Geometry And Its Applications written by Sonia P ́erez-D ́ıaz and has been published by Mdpi AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Technology & Engineering categories.
Unirrational algebraic varieties, particularly curves and surfaces, play an important role in many fields, such as Algebraic Geometry, Computational Geometry, Computer-Aided Design, Computer Graphics, and Geometric Modeling. Consequently, algorithms and results dealing with the different algebraic and geometric problems involving these geometric objects are very important. This Special Issue on "New Trends in Algebraic Geometry and Its Applications" is directed at mathematicians and computer scientists with a particular interest in algebraic geometry and its applications. This Special Issue aims to facilitate communication between researchers addressing the fundamental algorithmic issues in the treatment of curves and surfaces (from symbolic and numeric perspectives). The contributions presented in this Special Issue explore the interplay between geometry, algebra, and numerical computation when designing a variety of algorithms, or provide a complexity analysis of the running time of such algorithms. This Special Issue focuses on recent problems concerning algebraic geometry and its applications as an algorithm for visualizing algebraic varieties, in scientific and computational algebra, computational and algebraic geometry, and computer algebra problems, solved by means of symbolic-numeric techniques.
New Trends In Geometry
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Author : Claudio Bartocci
language : en
Publisher: World Scientific
Release Date : 2011-05-19
New Trends In Geometry written by Claudio Bartocci and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-19 with Mathematics categories.
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines. Contents:Geometry, Theoretical Physics and Cosmology:The Emergence of Algebraic Geometry in Contemporary Physics (Claudio Bartocci & Ugo Bruzzo)Quantum Gravity and Quantum Geometry (Mauro Carfora)The de Sitter and Anti-de Sitter Universes (Ugo Moschella)Geometry and Topology in Relativistic Cosmology (Jean-Pierre Luminet)The Problem of Space in Neurosciences:Space Coding in the Cerebral Cortex (Leonardo Fogassi)Action and Space Representation (Anna Berti & Alessia Folegatti)The Space Representations in the Brain (Claudio Brozzoli & Alessandro Farnè)The Enactive Constitution of Space (Carrado Sinigaglia & Chiara Brozzo)Geometrical Methods in the Biological Sciences:Causes and Symmetries in Natural Sciences: The Continuum and the Discrete in Mathematical Modelling (Francis Bailly & Giuseppe Longo)Topological Invariants of Geometrical Surfaces and the Protein Folding Problem (Riccardo Broglia)The Geometry of Dense Packing and Biological Structures (Jean-François Sadoc)When Topology and Biology Meet ‘For Life’: The Interactions Between Topological Forms and Biological Functions (Luciano Boi) Readership: Students and researchers in mathematical sciences at graduate level. Keywords:Geometrical Models;Spatial Perception;Mirror Neurons;Quantum Field Theory;String TheoryKey Features:Multidisciplinary approachDistinguished contributors working in different research areasNovel perspectives on the interactions between mathematics and biology
New Trends In Algebraic Geometry
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Author : K. Hulek
language : en
Publisher:
Release Date : 1999
New Trends In Algebraic Geometry written by K. Hulek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Electronic books categories.
Seventeen articles from the most outstanding contemporary topics in algebraic geometry.
New Trends In Intuitive Geometry
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Author : Gergely Ambrus
language : en
Publisher: Springer
Release Date : 2018-11-03
New Trends In Intuitive Geometry written by Gergely Ambrus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.
Trends In Commutative Algebra
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Author : Luchezar L. Avramov
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-13
Trends In Commutative Algebra written by Luchezar L. Avramov 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 2004-12-13 with Mathematics categories.
This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.
Current Trends In Arithmetical Algebraic Geometry
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Author : Kenneth Ribet
language : en
Publisher:
Release Date : 1987
Current Trends In Arithmetical Algebraic Geometry written by Kenneth Ribet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Arithmetical algebraic geometry categories.
Future Vision And Trends On Shapes Geometry And Algebra
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Author : Raffaele de Amicis
language : en
Publisher: Springer
Release Date : 2014-06-13
Future Vision And Trends On Shapes Geometry And Algebra written by Raffaele de Amicis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-13 with Mathematics categories.
Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework. Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly specialized to solve geometric problems – to seriously improve accuracy, robustness and efficiency of CAD-systems. It provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures and to improve control of NC machines. This book further introduces a noteworthy representation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numerical algebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vision and Trends on Shapes, Geometry and Algebra is aimed specialists in the area of mathematics and computer science on the one hand and on the other hand at those who want to become familiar with the practical application of algebraic geometry and geometric modelling such as students, researchers and doctorates.