Introduction To Algebraic Geometry

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Introduction To Algebraic Geometry

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Author : Serge Lang
language : en
Publisher: Courier Dover Publications
Release Date : 2019-03-20

Introduction To Algebraic Geometry written by Serge Lang and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Mathematics categories.

Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.

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 Algebraic Geometry And Commutative Algebra

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Author : Dilip P Patil
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-03-31

Introduction To Algebraic Geometry And Commutative Algebra written by Dilip P Patil and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-31 with Mathematics categories.

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics.Along the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. A selection is made from the wealth of material in the discipline, along with concise yet clear definitions and synopses.

Introduction To Algebraic Geometry And Algebraic Groups

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Author :
language : en
Publisher: Elsevier
Release Date : 1980-01-01

Introduction To Algebraic Geometry And Algebraic Groups written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Mathematics categories.

Introduction to Algebraic Geometry and Algebraic Groups

Introduction To Algebraic Geometry

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Author : John Greenlees Semple
language : en
Publisher:
Release Date : 1949

Introduction To Algebraic Geometry written by John Greenlees Semple and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Mathematics categories.

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.

Introduction To Algebraic Geometry

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Author : Igor Kriz
language : en
Publisher: Springer Nature
Release Date : 2021-03-13

Introduction To Algebraic Geometry written by Igor Kriz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-13 with Mathematics categories.

The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained. The text approaches foundations of algebraic geometry in a complete and self-contained way, also covering the underlying algebra. The last two chapters include a comprehensive treatment of cohomology and discuss some of its applications in algebraic geometry.

Introduction To Algebraic Geometry

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Author : Brendan Hassett
language : en
Publisher:
Release Date : 2007

Introduction To Algebraic Geometry written by Brendan Hassett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Geometry, Algebraic categories.

Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications.

Introduction To Algebraic Geometry

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Author : Steven Dale Cutkosky
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-06-01

Introduction To Algebraic Geometry written by Steven Dale Cutkosky 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 2018-06-01 with Mathematics categories.

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

Algebraic Geometry

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Author : Daniel Perrin
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-16

Algebraic Geometry written by Daniel Perrin 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 2007-12-16 with Mathematics categories.

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.