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Introduction to Commutative Algebra and Algebraic Geometry - Ernst Kunz

Introduction to Commutative Algebra and Algebraic Geometry

(Autor)

Buch | Softcover
238 Seiten
2012
Birkhauser Boston Inc (Verlag)
978-1-4614-5986-6 (ISBN)
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Originally published in 1985, this classic textbook is an English translation of Einfuhrung in die kommutative Algebra und algebraische Geometrie. It presents areas of commutative algebra that are best understood together.
Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.

 

Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Foreword.- Preface.- Preface to the English Edition.- Terminology.- Algebraic varieties.- Dimension.- Regular and rational functions on algebraic varieties.- The local-global principle in commutative algebra.- On the number of equations needed to describe an algebraic variety.- Regular and singular points of algebraic varieties.- Projective Resolutions.- Bibliography.- List of Symbols.- Index. 

Erscheint lt. Verlag 6.11.2012
Reihe/Serie Modern Birkhäuser Classics
Zusatzinfo XIII, 238 p.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Algebra • algebraic curves • Algebraic Geometry • Commutative algebra • Dimension • Krull's Principal Ideal Theorem • rational functions
ISBN-10 1-4614-5986-9 / 1461459869
ISBN-13 978-1-4614-5986-6 / 9781461459866
Zustand Neuware
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