# The Geometry of Schemes (Graduate Texts in Mathematics) ebook

## by Joe Harris,David Eisenbud

The theory of schemes is usually thought to be highly abstract and esoteric, and one that makes the study of algebraic geometry even more difficult

The theory of schemes is usually thought to be highly abstract and esoteric, and one that makes the study of algebraic geometry even more difficult. The authors definitely dispel this notion in this book, which could have been called "A Concrete Introduction to Schemes", because of the clarity with which the concepts are introduced and explained. After studying this book, one will understand and appreciate the power of schemes in algebraic geometry.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book.

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David Eisenbud, Joe Harris This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes.

David Eisenbud, Joe Harris. The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his co-workers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples, and strives to show "what is going on" behind the definitions.

Joe Harris, Ian Morrison. The functor is representable in the category of schemes if there is an isomorphism between the functor and the functor of points of a scheme. The canonical strategy of modern mathematics when studying an object is to put this object into a collection, and see what properties they have in common. Most commonly, the objects depend on some parameter(s), and the goal is to find out how the objects vary with these parameters.

Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. Bibliographic Information. The Geometry of Schemes. This book is strongly recommended to anyone who would like to know what schemes are all about. Newsletter of the New Zealand Mathematical Society, No. 82, August 2001. Show all. Table of contents (7 chapters). Graduate Texts in Mathematics.

The Geometry of Schemes {Graduate Texts in Mathematics; 197}. D Eisenbud, J Harris. Curves in projective space: notes du cours de Monsieur Joe Harris à la dix-neuvieme session du Seminaire de Mathematiques superieures

The Geometry of Schemes {Graduate Texts in Mathematics; 197}. Springer-Verlag New York Incorporated, 2000. The geometry of syzygies: a second course in algebraic geometry and commutative algebra. Springer Science & Business Media, 2005. Curves in projective space: notes du cours de Monsieur Joe Harris à la dix-neuvieme session du Seminaire de Mathematiques superieures. Seminaire scientifique OTAN, ASI 80. J Harris, D Eisenbud. Les presses de l'Université de Montreal, 1982. Limit linear series: basic theory. Inventiones mathematicae 85 (2), 337-371, 1986.

This is a brand new book at a great price. Author David Eisenbud. Publication Year 2001.

The Geometry of Schemes - Graduate Texts in Mathematics 197 .

The Geometry of Schemes - Graduate Texts in Mathematics 197 (Hardback). David Eisenbud (author), Joe Harris (author). Hardback 300 Pages, Published: 01/01/2000. Both Eisenbud and Harris are experienced and compelling educators of modern mathematics. 82, August 2001 Added to basket.

Автор: Eisenbud David, Harris Joe Название: The Geometry of. .

2002 Серия: Graduate texts in mathematics Язык: ENG Издание: 1st ed. 2000.

Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.