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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151447.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
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120214s2012 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461418092 |
|
978-1-4614-1809-2 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA564-609 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Boston, MA : |
| -- |
Springer US, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Arapura, Donu. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Algebraic Geometry over the Complex Numbers |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Donu Arapura. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 329p. 17 illus., 1 illus. in color. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Universitext, |
| International Standard Serial Number |
0172-5939 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- 1. Plane Curves -- 2. Manifolds and Varieties via Sheaves -- 3. More Sheaf Theory -- 4. Sheaf Cohomology -- 5. de Rham Cohomoloy of Manifolds -- 6. Riemann Surfaces -- 7. Simplicial Methods -- 8. The Hodge Theorem for Riemann Manifolds -- 9. Toward Hodge Theory for Complex Manifolds -- 10. Kahler Manifolds -- 11. A Little Algebraic Surface Theory -- 12. Hodge Structures and Homological Methods -- 13. Topology of Families -- 14. The Hard Lefschez Theorem -- 15. Coherent Sheaves -- 16. Computation of Coherent Sheaves -- 17. Computation of some Hodge numbers -- 18. Deformation Invariance of Hodge Numbers -- 19. Analogies and Conjectures.- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This textbook is a strong addition to existing introductory literature on algebraic geometry. The author’s treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and related fields. Unique features of this textbook: - Contains a rapid introduction to complex algebraic geometry - Includes background material on topology, manifold theory and sheaf theory - Analytic and algebraic approaches are developed somewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. “Algebraic Geometry over the Complex Numbers” is intended for graduate level courses in algebraic geometry and related fields. It can be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory. |
| 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 |
Differential equations, partial. |
|
|---|
| Topical term or geographic name as entry element |
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 |
Several Complex Variables and Analytic Spaces. |
|
|---|
| Topical term or geographic name as entry element |
Topology. |
| 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 |
9781461418085 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-1809-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
