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Cover: 9781441928078 | Algebraic Geometry | Robin Hartshorne | Taschenbuch | Paperback | 2010
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Algebraic Geometry
Taschenbuch von Robin Hartshorne
Sprache: Englisch

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Beschreibung
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.
Zusammenfassung
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.
Inhaltsverzeichnis
Introduction. 1: Varieties. 2: Schemes. 3: Cohomology. 4: Curves. 5: Surfaces. Appendix A: Intersection Theory. B: Transcendental Methods. C: The Weil Conjectures. Bibliography. Results from Algebra. Glossary of Notations. Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 516
Reihe: Graduate Texts in Mathematics
Inhalt: xvi
496 S.
ISBN-13: 9781441928078
ISBN-10: 1441928073
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hartshorne, Robin
Auflage: Softcover reprint of hardcover 1st ed. 1977
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 28 mm
Von/Mit: Robin Hartshorne
Erscheinungsdatum: 01.12.2010
Gewicht: 0,774 kg
preigu-id: 107181625
Zusammenfassung
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.
Inhaltsverzeichnis
Introduction. 1: Varieties. 2: Schemes. 3: Cohomology. 4: Curves. 5: Surfaces. Appendix A: Intersection Theory. B: Transcendental Methods. C: The Weil Conjectures. Bibliography. Results from Algebra. Glossary of Notations. Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 516
Reihe: Graduate Texts in Mathematics
Inhalt: xvi
496 S.
ISBN-13: 9781441928078
ISBN-10: 1441928073
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hartshorne, Robin
Auflage: Softcover reprint of hardcover 1st ed. 1977
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 28 mm
Von/Mit: Robin Hartshorne
Erscheinungsdatum: 01.12.2010
Gewicht: 0,774 kg
preigu-id: 107181625
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