MARC details
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03425cam a22002654a 4500 |
| 001 - CONTROL NUMBER |
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vtls000001776 |
| 003 - CONTROL NUMBER IDENTIFIER |
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VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250102223525.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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081109s2005 maua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0817643818 (alk. paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
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| Level of rules in bibliographic description |
201402040053 |
| Level of effort used to assign nonsubject heading access points |
VLOAD |
| Level of effort used to assign subject headings |
201007310934 |
| Level of effort used to assign classification |
malmash |
| Level of effort used to assign subject headings |
200811101350 |
| Level of effort used to assign classification |
venkatrajand |
| Level of effort used to assign subject headings |
200811091429 |
| Level of effort used to assign classification |
Noora |
| -- |
200811091428 |
| -- |
Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA567 |
| Item number |
.K8613 2005 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kunz, Ernst, |
| Dates associated with a name |
1933- |
| 9 (RLIN) |
25104 |
| 240 10 - UNIFORM TITLE |
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| Uniform title |
Ebene algebraische Kurven. |
| Language of a work |
English |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to Plane Algebraic Curves / |
| Statement of responsibility, etc. |
Ernst Kunz ; translated by Richard G. Belshoff. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Boston : |
| Name of publisher, distributor, etc. |
Birkhauser, |
| Date of publication, distribution, etc. |
c2005. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 293 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references (p. [285]-287) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
* Preface * Conventions and Notation * Part I: Plane Algebraic Curves * Affine Algebraic Curves * Projective Algebraic Curves * The Coordinate Ring of an Algebraic Curve and the Intersections of Two Curves * Rational Functions on Algebraic Curves * Intersection Multiplicity and Intersection Cycle of Two Curves * Regular and Singular Points of Algebraic Curves. Tangents * More on Intersection Theory. Applications * Rational Maps. Parametric Representations of Curves * Polars and Hessians of Algebraic Curves * Elliptic Curves * Residue Calculus * Applications of Residue Theory to Curves * The Riemann--Roch Theorem * The Genus of an Algebraic Curve and of its Function Field * The Canonical Divisor Class * The Branches of a Curve Singularity * Conductor and Value Semigroup of a Curve Singularity * Part II: Algebraic Foundations * Algebraic Foundations * Graded Algebras and Modules * Filtered Algebras * Rings of Quotients. Localization * The Chinese Remainder Theorem * Noetherian Local Rings and Discrete Valuation Rings * Integral Ring Extensions * Tensor Products of Algebras * Traces * Ideal Quotients * Complete Rings. Completion * Tools for a Proof of the Riemann--Roch Theorem * References * Index * List of Symbols |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed. Kunz's proven conception of teaching topics in commutative algebra together with their applications to algebraic geometry makes this book significantly different from others on plane algebraic curves. The exposition focuses on the purely algebraic aspects of plane curve theory, leaving the topological and analytical viewpoints in the background, with only casual references to these subjects and suggestions for further reading. Most important to this text: emphasizes and utilizes the theory of filtered algebras, their graduated rings and Rees algebras, to deduce basic facts about the intersection theory of plane curves; presents residue theory in the affine plane and its applications to intersection theory; methods of proof for the Riemann-Roch theorem conform to the presentation of curve theory, formulated in the language of filtrations and associated graded rings; and examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Curves, Plane. |
| 9 (RLIN) |
25105 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Curves, Algebraic. |
| 9 (RLIN) |
25106 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Singularities (Mathematics) |
| 9 (RLIN) |
25107 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
