Treatise on Algebraic Geometry
Author: Dionysius Lardner
Publisher:
Published: 1831
Total Pages: 857
ISBN-13:
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Author: Dionysius Lardner
Publisher:
Published: 1831
Total Pages: 857
ISBN-13:
DOWNLOAD EBOOKAuthor: Julian Lowell Coolidge
Publisher: Courier Corporation
Published: 2004-01-01
Total Pages: 554
ISBN-13: 9780486495767
DOWNLOAD EBOOKA 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: Ramón González Calvet
Publisher: Treatise of Plane Geometry
Published: 2007
Total Pages: 43
ISBN-13: 8461191498
DOWNLOAD EBOOKAuthor: Frances Clare Kirwan
Publisher: Cambridge University Press
Published: 1992-02-20
Total Pages: 278
ISBN-13: 9780521423533
DOWNLOAD EBOOKThis 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:
Published: 2017-08-26
Total Pages: 570
ISBN-13: 9781298660695
DOWNLOAD EBOOKAuthor: Dionysius Lardner
Publisher:
Published: 1831
Total Pages: 582
ISBN-13:
DOWNLOAD EBOOKAuthor: William Fulton
Publisher:
Published: 2008
Total Pages: 120
ISBN-13:
DOWNLOAD EBOOKThe 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
Published: 2015-10-03
Total Pages: 852
ISBN-13: 9781343893573
DOWNLOAD EBOOKThis 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: Qing Liu
Publisher: Oxford University Press
Published: 2006-06-29
Total Pages: 593
ISBN-13: 0191547808
DOWNLOAD EBOOKThis 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: George Hale Puckle
Publisher:
Published: 1870
Total Pages: 380
ISBN-13:
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