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Synopsis
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.
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About the Author
Michael Artin, Massachusetts Institute of Technology, Cambridge, MA
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Algebraic Geometry (Graduate Studies in Mathematics, 222)
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American Mathematical Society (edition ), 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry : Notes on a Course
Published by
American Mathematical Society, 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry (Paperback)
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American Mathematical Society, Providence, 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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Paperback. Condition: 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. Seller Inventory # 9781470471118
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Algebraic Geometry
Published by
American Mathematical Society, US, 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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Seller: Rarewaves.com USA, London, LONDO, United Kingdom
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Paperback. Condition: 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. Seller Inventory # LU-9781470471118
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Algebraic Geometry: Notes on a Course
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ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry Notes on a Course
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ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry : Notes on a Course
Published by
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ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry: Notes on a Course
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American Mathematical Society, 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry : Notes on a Course
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ISBN 10: 1470471116
ISBN 13: 9781470471118
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Algebraic Geometry: Notes on a Course
Published by
American Mathematical Society, 2022
ISBN 10: 1470471116
ISBN 13: 9781470471118
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