Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics, 222) - Softcover

Artin, Michael

9781470471118: Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics, 222)

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ISBN 10: 1470471116 ISBN 13: 9781470471118

Verlag: American Mathematical Society, 2023

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Artin developed this textbook from notes for an algebraic geometry course he has taught for students who have completed the standard theoretical mathematics classes. His goal is to get to the cohomology of O-modules (quasicoherent sheaves) in one semester without presupposing a knowledge of sheaf theory or of much commutative algebra. He covers plane curves, affine algebraic geometry, projective algebraic geometry, integral morphisms, structures of varieties in the Zariski topology, modules, cohomology, the Riemann-Roch theorem for curves, and background. Annotation �2022 Ringgold, Inc., Portland, OR (protoview.com)

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Michael Artin, Massachusetts Institute of Technology, Cambridge, MA.

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Verlag: American Mathematical Society
Erscheinungsdatum: 2023
Sprache: Englisch
ISBN 10: 1470471116
ISBN 13: 9781470471118
Einband: Taschenbuch
Anzahl der Seiten: 318
Kontakt zum Hersteller: Nicht verf�gbar
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Algebraic Geometry - Notes on a Course (eng)

Michael Artin

Verlag: American Mathematical Society, 2022

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Algebraic Geometry

Michael Artin

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Algebraic Geometry

Michael Artin

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Paperback. Zustand: New. This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course.The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and construcibility. $\mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line.Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $\mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem. Bestandsnummer des Verk�ufers LU-9781470471118

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Algebraic Geometry: Notes on a Course

Michael Artin

Verlag: American Mathematical Society, 2022

ISBN 10: 1470471116 ISBN 13: 9781470471118

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Algebraic Geometry (Paperback)

Michael Artin

Verlag: American Mathematical Society, Providence, 2022

ISBN 10: 1470471116 ISBN 13: 9781470471118

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Paperback. Zustand: new. Paperback. This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course.The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and construcibility. $\mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line.Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $\mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem. Provides an introduction to the geometry of complex algebraic varieties. The book is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. It is a suitable text for a beginning graduate course or an advanced undergraduate course. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9781470471118

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