Foundations Of Algebraic Geometry


Foundations Of Algebraic Geometry
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Foundations Of Algebraic Geometry


Foundations Of Algebraic Geometry
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Author : AndrŽ Weil
language : en
Publisher: American Mathematical Soc.
Release Date : 1946-12-31

Foundations Of Algebraic Geometry written by AndrŽ Weil 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 1946-12-31 with Mathematics categories.


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.



Foundations Of Algebraic Geometry 29


Foundations Of Algebraic Geometry 29
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Author : André 1906- Weil
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-10

Foundations Of Algebraic Geometry 29 written by André 1906- Weil and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-10 with categories.


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.



Foundations Of Algebraic Geometry


Foundations Of Algebraic Geometry
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Author : André Weil
language : en
Publisher:
Release Date : 1946

Foundations Of Algebraic Geometry written by André Weil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Geometry, Algebraic categories.


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.



A First Course In Algebraic Geometry And Algebraic Varieties


A First Course In Algebraic Geometry And Algebraic Varieties
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Author : Flaminio Flamini
language : en
Publisher: World Scientific
Release Date : 2023-02-13

A First Course In Algebraic Geometry And Algebraic Varieties written by Flaminio Flamini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Mathematics categories.


This book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideals, zero loci of ideals) up to increasingly intrinsic and abstract arguments, such as 'Algebraic Varieties', whose natural continuation is a more advanced course on the theory of schemes, vector bundles, and sheaf-cohomology.Valuable to students studying Algebraic Geometry and Geometry, this title contains around 60 exercises (with solutions) to help students thoroughly understand the theories introduced in the book. Proofs of the results are carried out in full detail. Many examples are discussed in order to reinforce the understanding of both the theoretical elements and their consequences, as well as the possible applications of the material.



Foundations Of Algebraic Geometry


Foundations Of Algebraic Geometry
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Author : André Weil
language : en
Publisher:
Release Date : 1978

Foundations Of Algebraic Geometry written by André Weil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.




Introduction To Algebraic Geometry


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.



Collected Papers


Collected Papers
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Author : Oscar Zariski
language : en
Publisher:
Release Date : 1972

Collected Papers written by Oscar Zariski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.




Introduction To Complex Analysis


Introduction To Complex Analysis
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Author : H. A. Priestley
language : en
Publisher: OUP Oxford
Release Date : 2003-08-28

Introduction To Complex Analysis written by H. A. Priestley and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-28 with Mathematics categories.


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.



Algebraic Geometry Ii Cohomology Of Schemes


Algebraic Geometry Ii Cohomology Of Schemes
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Author : Ulrich Görtz
language : en
Publisher: Springer Nature
Release Date : 2023-11-22

Algebraic Geometry Ii Cohomology Of Schemes written by Ulrich Görtz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-22 with Mathematics categories.


This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously. The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results.



Methods Of Algebraic Geometry


Methods Of Algebraic Geometry
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Author : William Vallance Douglas Hodge
language : en
Publisher: CUP Archive
Release Date : 1947

Methods Of Algebraic Geometry written by William Vallance Douglas Hodge and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Abelian varieties categories.


This classic work, in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout.