Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Elementary Algebraic Geometry
.
Bookmark this Record
Catalogue Record 48900
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 48900
.
Reviews
Catalogue Record 48900
.
British Library
Resolver for RSN-48900
Google Scholar
Resolver for RSN-48900
WorldCat
Resolver for RSN-48900
Catalogo Nazionale SBN
Resolver for RSN-48900
GoogleBooks
Resolver for RSN-48900
ICTP Library
Resolver for RSN-48900
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516
Title
Elementary Algebraic Geometry ([EBook]) / by Keith Kendig.
Author
Kendig, Keith. , 1938-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1977.
Physical Details
309 pages: 40 illus. : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 44
ISBN
9781461568995
Summary Note
This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate student, as well as for the nonspecialist; the only prerequisites are a one-year course in algebra 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 concrete examples, and intuition in algebraic geometry is no exception. I have also tried to avoid too much generalization. If one under stands the core of an idea in a concrete setting, later generalizations become much more meaningful. There are exercises at the end of most sections so that the reader 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 details. Chapter I is of an introductory nature. Some of the geometry of a few specific algebraic curves is worked out, using a tactical approach that might naturally be tried by one not familiar with the general methods intro duced later in the book. Further examples in this chapter suggest other basic properties of curves. In Chapter II, we look at curves more rigorously and carefully.:
Contents note
I Examples of curves -- 1 Introduction -- 2 The topology of a few specific plane curves -- 3 Intersecting curves -- 4 Curves over ? -- II Plane curves -- 1 Projective spaces -- 2 Affine and projective varieties; examples -- 3 Implicit mapping theorems -- 4 Some local structure of plane curves -- 5 Sphere coverings -- 6 The dimension theorem for plane curves -- 7 A Jacobian criterion for nonsingularity -- 8 Curves in ?2(?) are connected -- 9 Algebraic curves are orientable -- 10 The genus formula for nonsingular curves -- III Commutative ring theory and algebraic geometry -- 1 Introduction -- 2 Some basic lattice-theoretic properties of varieties and ideals -- 3 The Hilbert basis theorem -- 4 Some basic decomposition theorems on ideals and varieties -- 5 The Nullstellensatz: Statement and consequences -- 6 Proof of the Nullstellensatz -- 7 Quotient rings and subvarieties -- 8 Isomorphic coordinate rings and varieties -- 9 Induced lattice properties of coordinate ring surjections; examples -- 10 Induced lattice properties of coordinate ring injections -- 11 Geometry of coordinate ring extensions -- IV Varieties of arbitrary dimension -- 1 Introduction -- 2 Dimension of arbitrary varieties -- 3 The dimension theorem -- 4 A Jacobian criterion for nonsingularity -- 5 Connectedness and orientability -- 6 Multiplicity -- 7 Bézout’s theorem -- V Some elementary mathematics on curves -- 1 Introduction -- 2 Valuation rings -- 3 Local rings -- 4 A ring-theoretic characterization of nonsingularity -- 5 Ideal theory on a nonsingular curve -- 6 Some elementary function theory on a nonsingular curve -- 7 The Riemann-Roch theorem -- Notation index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4615-6899-5
Links to Related Works
Subject References:
Commutative algebra
.
Geometry
.
Geometry, Algebraic
.
Authors:
Kendig, Keith. 1938-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
516
.
.
ISBD Display
Catalogue Record 48900
.
Tag Display
Catalogue Record 48900
.
Related Works
Catalogue Record 48900
.
Marc XML
Catalogue Record 48900
.
Add Title to Basket
Catalogue Record 48900
.
Catalogue Information 48900
Beginning of record
.
Catalogue Information 48900
Top of page
.
Download Title
Catalogue Record 48900
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
48900
1
48900
-
2
48900
-
3
48900
-
4
48900
-
5
48900
-
Quick Search
Search for