Introduction To Algebraic Curves
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Algebraic Curves
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Author : William Fulton
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1989
Algebraic Curves written by William Fulton and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Introduction To Plane Algebraic Curves
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Author : Ernst Kunz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-10
Introduction To Plane Algebraic Curves written by Ernst Kunz 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 2007-06-10 with Mathematics categories.
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Algebraic Curves
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Author : William Fulton
language : en
Publisher:
Release Date : 1989
Algebraic Curves written by William Fulton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Plane Algebraic Curves
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Author : Gerd Fischer
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Plane Algebraic Curves written by Gerd Fischer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Geometric Analysis On Symmetric Spaces
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Author : Phillip Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Geometric Analysis On Symmetric Spaces written by Phillip Griffiths and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Education categories.
"This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations - that is, representations on solution spaces of invariant differential equations."--BOOK JACKET.
Algebraic Curves
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Author : William Fulton
language : en
Publisher:
Release Date : 1978
Algebraic Curves written by William Fulton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Curves, Algebraic categories.
Introduction To Algebraic Curves
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Author : Phillip A. Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date :
Introduction To Algebraic Curves written by Phillip A. Griffiths and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This book is an ideal introductory text as it provides a solid foundation to proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. It includes numerous exercises.
An Introduction To Algebraic Geometry
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Author : Kenji Ueno
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
An Introduction To Algebraic Geometry written by Kenji Ueno and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
Algebraic Curves And One Dimensional Fields
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Author : Fedor Bogomolov
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Algebraic Curves And One Dimensional Fields written by Fedor Bogomolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Courbes algébriques categories.
This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. It demonstrates how curves can act as a natural introduction to algebraic geometry.
Plane Algebraic Curves
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Author : C. Orzech
language : en
Publisher: CRC Press
Release Date : 1981-01-01
Plane Algebraic Curves written by C. Orzech and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Plane Algebraic Curves is a classroom-tested textbook for advanced undergraduate and beginning graduate students in mathematics. The book introduces the contemporary notions of algebraic varieties, morphisms of varieties, and adeles to the classical subject of plane curves over algebraically closed fields. By restricting the rigorous development of these notions to a traditional context the book makes its subject accessible without extensive algebraic prerequisites. Once the reader's intuition for plane curves has evolved, there is a discussion of how these objects can be generalized to higher dimensional settings. These features, as well as a proof of the Riemann-Roch Theorem based on a combination of geometric and algebraic considerations, make the book a good foundation for more specialized study in algebraic geometry, commutative algebra, and algebraic function fields. Plane Algebraic Curves is suitable for readers with a variety of backgrounds and interests. The book begins with a chapter outlining prerequisites, and contains informal discussions giving an overview of its material and relating it to non-algebraic topics which would be familiar to the general reader. There is an explanation of why the algebraic genus of a hyperelliptic curve agrees with its geometric genus as a compact Riemann surface, as well as a thorough description of how the classically important elliptic curves can be described in various normal forms. The book concludes with a bibliography which students can incorporate into their further studies. Book jacket.