Algebraic Geometry

Solomon Lefschetz; Solomon Lefschetz

Book

Algebraic Geometry

Solomon Lefschetz and Solomon Lefschetz

Language: English

Published/Copyright: 2015

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About this book

The first application of modern algebraic techniques to a comprehensive selection of classical geometric problems. Written with spirit and originality, this is a valuable book for anyone interested in the subject from other than the purely algebraic point of view.

Originally published in 1953.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Topics

Mathematics Geometry and Topology

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed	v
Contents Publicly Available Download PDF	vii
Chapter I. Algebraic Foundations Requires Authentication Unlicensed Licensed	1
Chapter II. Algebraic Varieties: Fundamental Concepts Requires Authentication Unlicensed Licensed	16
Chapter III. Transformations of Algebraic Varieties Requires Authentication Unlicensed Licensed	47
Chapter IV. Formal Power Series Requires Authentication Unlicensed Licensed	78
Chapter V. Algebraic Curves, their Places and Transformations Requires Authentication Unlicensed Licensed	98
Chapter VI. Linear Series Requires Authentication Unlicensed Licensed	135
Chapter VII. Abelian Differentials Requires Authentication Unlicensed Licensed	155
Chapter VIII. Abel's Theorem. Algebraic Series and Correspondences Requires Authentication Unlicensed Licensed	176
Chapter IX. Systems of Curves on a Surface Requires Authentication Unlicensed Licensed	196
Appendix Requires Authentication Unlicensed Licensed	224
Bibliography Requires Authentication Unlicensed Licensed	226
List of Symbols Most Frequently Used in the Text Requires Authentication Unlicensed Licensed	229
Index Requires Authentication Unlicensed Licensed	231

Publishing information

Pages and Images/Illustrations in book

eBook published on:

May 10, 2016

eBook ISBN:

9781400876686

Pages and Images/Illustrations in book

https://doi.org/10.1515/9781400876686

eBook ISBN: 9781400876686

Keywords for this book

Divisor; Theorem; Hyperplane; Hypersurface; Big O notation; Algebraic curve; Tangent space; Algebraic variety; Polynomial; Adjoint; Existential quantification; Prime ideal; Special case; Plane curve; Irreducible representation; Polar curve; Differential of the first kind; Affine space; Coefficient; Formal power series; Bijection; Rational function; Coordinate system; Integral domain; Intersection (set theory); Function field; Affine variety; Summation; Complete intersection; Algebraic geometry; Irreducibility (mathematics); Complex number; Parameter; Principal ideal; Zero divisor; Linear map; Point at infinity; Resultant; Primary ideal; Birational geometry; Projective variety; Algebraic extension; Power series; Tuple; Coprime integers; Monomial; Projection (mathematics); Quadric; Birational invariant; Integer; Automorphism; Sign (mathematics); Geometry; Pascal's theorem; Null set; Orientability; Linear differential equation; Partial derivative; Irreducible component; Abelian integral; Collinearity; Equivalence class; Noetherian ring; Topological space; Divisor (algebraic geometry); Variable (mathematics); Connected space; Abstract algebra; Algebraic function; Rational variety

Audience(s) for this book

For an expert adult audience, including professional development and academic research

Algebraic Geometry

Overview

About this book

Topics

Table of contents

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