Foundations Of Algebraic Geometry 29

Author : André 1906- Weil
Publisher : Hassell Street Press
Page : 392 pages
File Size : 45,5 Mb
Release : 2021-09-10
Category : Electronic
ISBN : 1015107672

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Foundations of Algebraic Geometry. --; 29 by André 1906- Weil Pdf

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : André 1906- Weil
Publisher : Hassell Street Press
Page : 392 pages
File Size : 54,6 Mb
Release : 2021-09-09
Category : Electronic
ISBN : 1014278090

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Foundations of Algebraic Geometry. --; 29 by André 1906- Weil Pdf

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : André Weil
Publisher : Unknown
Page : 288 pages
File Size : 52,8 Mb
Release : 1946
Category : Algebra
ISBN : OCLC:1081586702

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Foundations of Algebraic Geometry by André Weil Pdf

Author : André Weil
Publisher : Unknown
Page : 363 pages
File Size : 54,9 Mb
Release : 1946
Category : Geometry, Algebraic
ISBN : 1470431769

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Foundations of Algebraic Geometry by André Weil Pdf

This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

Author : Ernst Kunz
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 53,7 Mb
Release : 2012-11-06
Category : Mathematics
ISBN : 9781461459873

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Introduction to Commutative Algebra and Algebraic Geometry by Ernst Kunz Pdf

Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Author : Suzanne C. Dieudonne
Publisher : CRC Press
Page : 202 pages
File Size : 47,5 Mb
Release : 1985-05-30
Category : Mathematics
ISBN : 0412993716

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History Algebraic Geometry by Suzanne C. Dieudonne Pdf

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

Author : Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Publisher : CUP Archive
Page : 424 pages
File Size : 42,6 Mb
Release : 1977
Category : Mathematics
ISBN : 0521217776

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Complex Analysis and Algebraic Geometry by Kunihiko Kodaira,W. L. Jr Baily,T. Shioda Pdf

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 54,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475738490

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Algebraic Geometry by Robin Hartshorne Pdf

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Author : Audun Holme
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 48,5 Mb
Release : 2011-10-06
Category : Mathematics
ISBN : 3642192254

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A Royal Road to Algebraic Geometry by Audun Holme Pdf

This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

Author : Ulrich Görtz,Torsten Wedhorn
Publisher : Springer Science & Business Media
Page : 615 pages
File Size : 49,6 Mb
Release : 2010-08-09
Category : Mathematics
ISBN : 9783834897220

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Algebraic Geometry by Ulrich Görtz,Torsten Wedhorn Pdf

This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.

Author : André Weil
Publisher : Unknown
Page : 362 pages
File Size : 47,8 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:41445128

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Foundations of Algebraic Geometry by André Weil Pdf

Author : H. A. Priestley
Publisher : OUP Oxford
Page : 344 pages
File Size : 49,7 Mb
Release : 2003-08-28
Category : Mathematics
ISBN : 9780191037207

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Introduction to Complex Analysis by H. A. Priestley Pdf

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

Author : Oscar Zariski
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642619915

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Algebraic Surfaces by Oscar Zariski Pdf

From the reviews: "The author's book [...] saw its first edition in 1935. [...] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results. [...] a timelessly beautiful pearl in the cultural heritage of mathematics as a whole." Zentralblatt MATH

Author : D. G. Northcott
Publisher : Cambridge University Press
Page : 297 pages
File Size : 43,9 Mb
Release : 1980-05-08
Category : Mathematics
ISBN : 9780521229098

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Affine Sets and Affine Groups by D. G. Northcott Pdf

In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.

Author : Shiing-Shen Chern,Friedrich Hirzebruch
Publisher : World Scientific
Page : 944 pages
File Size : 48,6 Mb
Release : 2000
Category : Mathematics
ISBN : 9812811761

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Wolf Prize in Mathematics by Shiing-Shen Chern,Friedrich Hirzebruch Pdf