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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310151456.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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111004s2012 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783642192258 |
|
978-3-642-19225-8 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA564-609 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.35 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Holme, Audun. |
| Relator term |
author. |
| 245 12 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
A Royal Road to Algebraic Geometry |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Audun Holme. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 366 p. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Part I Curves: 1 Affine and Projective Space -- 2 Curves in A2 k and in P2 -- 3 Higher Geometry in the Projective Plane -- 4 Plane Curves and Algebra -- 5 Projective Varieties in PNk -- Part II Introduction to Grothendieck’s Theory of Schemes: 6 Categories and Functors -- 7 Constructions and Representable Functors -- 8 Abelian Categories -- 9 The Concept of Spec(A) -- 10 The Category of Schemes -- 11 Properties of Morphisms of Schemes -- 12 Modules, Algebras and Bundles on a Scheme -- 13 More Properties of Morphisms, Scheme Theoretic Image and the “Sorite” -- 14 Projective Schemes and Bundles -- 15 Further Properties of Morphisms -- 16 Conormal Sheaf and Projective Bundles -- 17 Cohomology Theory on Schemes -- 18 Intersection Theory -- 19 Characteristic Classes in Algebraic Geometry -- 20 The Riemann-Roch Theorem -- 21 Some Basic constructions in the category of projective kvarieties -- 22 More on Duality -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime! |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Geometry, algebraic. |
|
|---|
| Topical term or geographic name as entry element |
Algebra. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Algebraic topology. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Algebraic Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Category Theory, Homological Algebra. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Algebraic Topology. |
|
|---|
| Topical term or geographic name as entry element |
Commutative Rings and Algebras. |
|
|---|
| Topical term or geographic name as entry element |
History of Mathematical Sciences. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642192241 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-19225-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
