Treatise on Algebraic Geometry PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Treatise on Algebraic Geometry PDF full book. Access full book title Treatise on Algebraic Geometry by Dionysius Lardner. Download full books in PDF and EPUB format.
Author: Dionysius Lardner
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 857
Get Book Here
Book Description
Author: Dionysius Lardner
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 857
Get Book Here
Book Description
Author: Julian Lowell Coolidge
Publisher: Courier Corporation
ISBN: 9780486495767
Category : Mathematics
Languages : en
Pages : 554
Get Book Here
Book Description
A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 9780521423533
Category : Mathematics
Languages : en
Pages : 278
Get Book Here
Book Description
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
Author: Dionysius Lardner
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 582
Get Book Here
Book Description
Author: Daniel Cresswell
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 540
Get Book Here
Book Description
Author: Dionysius Lardner
Publisher:
ISBN: 9781298660695
Category : Mathematics
Languages : en
Pages : 570
Get Book Here
Book Description
Author: Qing Liu
Publisher: Oxford University Press
ISBN: 0191547808
Category : Mathematics
Languages : en
Pages : 593
Get Book Here
Book Description
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Author: William Fulton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 120
Get Book Here
Book Description
The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Author: Dionysius Lardner
Publisher: Arkose Press
ISBN: 9781343893573
Category :
Languages : en
Pages : 852
Get Book Here
Book Description
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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Daniel Perrin
Publisher: Springer Science & Business Media
ISBN: 1848000561
Category : Mathematics
Languages : en
Pages : 267
Get Book Here
Book Description
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.
