Robin Hartshorne: Algebraic Geometry | Buch

Cover: 9780387902449 | Algebraic Geometry | Robin Hartshorne | Buch | xvi | Englisch | 1977

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Sprache: Englisch

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Beschreibung

This book provides an introduction to abstract algebraic geometry. The prerequisites for this approach are results from commutative algebra, which are stated as needed, and some elementary topology. There are more than 400 exercises throughout the book, offering specific examples as well as more specialized topics not treated in the main text. Three appendices present brief accounts of some areas of current research. This book can be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra.

Über den Autor

Zusammenfassung

Inhaltsverzeichnis

I Varieties.- II Schemes.- III Cohomology.- IV Curves.- V Surfaces.- Appendix A Intersection Theory.- 1 Intersection Theory.- 2 Properties of the Chow Ring.- 3 Chern Classes.- 4 The Riemann-Roch Theorem.- 5 Complements and Generalizations.- Appendix B Transcendental Methods.- 1 The Associated Complex Analytic Space.- 2 Comparison of the Algebraic and Analytic Categories.- 3 When is a Compact Complex Manifold Algebraic?.- 4 Kähler Manifolds.- 5 The Exponential Sequence.- Appendix C The Weil Conjectures.- 1 The Zeta Function and the Weil Conjectures.- 2 History of Work on the Weil Conjectures.- 3 The /-adic Cohomology.- 4 Cohomological Interpretation of the Weil Conjectures.- Results from Algebra.- Glossary of Notations.

Details

Erscheinungsjahr:	1977
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvi 496 S.
ISBN-13:	9780387902449 9783540902447
ISBN-10:	0387902449 3540902449
Sprache:	Englisch
Herstellernummer:	10187090
Einband:	Gebunden
Autor:	Hartshorne, Robin
Hersteller:	Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 34 mm
Von/Mit:	Robin Hartshorne
Erscheinungsdatum:	19.12.1977
Gewicht:	0,934 kg