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Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne

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Published by Springer .
Written in English


Book details:

The Physical Object
Number of Pages512
ID Numbers
Open LibraryOL7448103M
ISBN 100387902449
ISBN 109780387902449

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  The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences/5(3).   This book is dense, which is good because it has lots of information in it. That said, it is probably not the best book to learn algebraic geometry from. Personally, I found it pretty difficult to learn algebraic geometry from this book. However, I get the impression that if you already know algebraic geometry, this is an indispensable resource/5. Algebraic Geometry, book in progress. This book covers the following topics: Elementary Algebraic Geometry, Dimension, Local Theory, Projective Geometry, Affine Schemes and Schemes in General, Tangent and Normal Bundles, Cohomology, Proper Schemes and Morphisms, Sheaves and Ringed Spaces. Author(s): Jean Gallier. This book is based on one-semester courses given at Harvard in , at Brown in , and at Harvard in It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed.

The book An Invitation to Algebraic Geometry by Karen Smith et al. is excellent "for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites," . This book is intended to give a serious and reasonably complete introduction to algebraic geometry, not just for (future) experts in the field. The exposition serves a narrow set of goals (see §), and necessarily takes a particular point of view on the subject. It has now been four decades since David Mumford wrote that algebraic ge-. A better description of algebraic geometry is that it is the study of polynomial functions and the spaces on which they are defined (algebraic varieties), just as topology is the study of continuous functions and the spaces on which they are defined (topological spaces). "The book under review, Algebraic Geometry, by Daniel Perrin, is an introductory text on modern algebraic geometry. It is aimed to be the text for a first basic course for graduate students. is very nicely written (and very nicely translated into English too). Brand: Springer-Verlag London.

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in , Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In he moved to California where he is now Professor at the University of California at Berkeley.4/5(10). accumulated during the classical period of development of algebraic geometry is enormous and what the reader is going to find in the book is really only the tip of the iceberg; a work that is like a taste sampler of classical algebraic. He is the author of "Residues and Duality" (), "Foundations of Projective Geometry (), "Ample Subvarieties of Algebraic Varieties" (), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. e-books in Algebraic Geometry category Noncommutative Algebraic Geometry by Gwyn Bellamy, et al. - Cambridge University Press, This book provides an introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.