Elementary algebraic geometry

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Elementary algebraic geometry

Keith KendigElementary AlgebraicGeometrywww.pdfgrip.comDr. Keith KendigCleveland State University Department of Mathematics Cleveland. Ohio 44115Edito

Elementary algebraic geometry orial Boardp. R. HalmosManaging EditorUniversity of California Department of Mathematics Santa Barbara. California 93106F. w. GehringUniversity of Mic

higan Department of Mathematics Ann Arbor. Michigan 48104c. c. MooreUniversity of California at Berkeley Department of Mathematics Berkeley. Californi Elementary algebraic geometry

a 94720AMS Subject Classification 13-01, 14—01Library of Congress Cataloging in Publication DataKendig, Keith. 1938-Elementary algebraic geometry.(Gra

Elementary algebraic geometry

duate texts in mathematics ; 44)Bibliography : p.Includes index.I. Geometry, Algebraic.. 2. Commutative algebra.I. Title. IL Series.QA564.K46516.3576-

Keith KendigElementary AlgebraicGeometrywww.pdfgrip.comDr. Keith KendigCleveland State University Department of Mathematics Cleveland. Ohio 44115Edito

Elementary algebraic geometry inger-Verlag, New York Inc.www.pdfgrip.comPrefaceThis book was written to make learning introductory algebraic geometry as easy as possible. It is des

igned for the general first- and second-year graduate student, as well as for the nonspecialist; the only prerequisites are a one-year course in algeb Elementary algebraic geometry

ra and a little complex analysis. There are many examples and pictures in the book. One's sense of intuition is largely built up from exposure to conc

Elementary algebraic geometry

rete examp’es. and intuition in algebraic geometry is no exception. I have also tried to avoid too much generalization. If one understands the core of

Keith KendigElementary AlgebraicGeometrywww.pdfgrip.comDr. Keith KendigCleveland State University Department of Mathematics Cleveland. Ohio 44115Edito

Elementary algebraic geometry can test his understanding of the material. Some are routine, others are more challenging. Occasionally, easily established results used in the text

have been made into exercises. And from time to time, proofs of topics not covered in the text are sketched and the reader is asked to fill in the det Elementary algebraic geometry

ails.Chapter 1 is of an introductory nature. Some of the geometry of a few specific algebraic curves is worked out, using a tactical approach that mig

Elementary algebraic geometry

ht naturally be tried by one not familiar with the general methods introduced later in the book. Further examples in this chapter suggest other basic

Keith KendigElementary AlgebraicGeometrywww.pdfgrip.comDr. Keith KendigCleveland State University Department of Mathematics Cleveland. Ohio 44115Edito

Elementary algebraic geometry plane curve in terms of the degree of its defining polynomial. This was one of the earliestwww.pdfgrip.comPrefaceAlgebraic ideas are supplied with ge

ometric meaning, so that in a sense one obtains a “ dictionary " between commutative algebra and algebraic geometry. I have put this dictionary in the Elementary algebraic geometry

form of a diagram of lattices; this approach does seem to neatly tie together a good many results and easily suggests to the reader a number of possi

Elementary algebraic geometry

ble analogues and extensions.

Keith KendigElementary AlgebraicGeometrywww.pdfgrip.comDr. Keith KendigCleveland State University Department of Mathematics Cleveland. Ohio 44115Edito