Algebraic Geometry 1, Volume 1: From Algebraic Varieties to Schemes (Iwanami Series in Modern Mathematics) - Softcover
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Develops Grothendieck's scheme theory as a method for studying algebraic geometry. Ueno sets forth the definition and main properties of schemes, together with necessary material from the theory of algebraic varieties and category theory. Originally published in Japanese by Iwanami Shoten, Tokyo in 1997. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Algebraic Geometry 1, Volume 1: From Algebraic Varieties to Schemes (eng)
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Algebraic Geometry 1, Volume 1
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American Mathematical Society, US, 1999
ISBN 10: 0821808621
ISBN 13: 9780821808627
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Paperback. Zustand: New. This is the first of three volumes on algebraic geometry. The second volume, ""Algebraic Geometry 2: Sheaves and Cohomology"", is available from the AMS as Volume 197 in the ""Translations of Mathematical Monographs"" series. Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them.Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring.By studying algebraic varieties over a field, Ueno demonstrates how the notion of schemes is necessary in algebraic geometry. This first volume gives a definition of schemes and describes some of their elementary properties. It is then possible, with only a little additional work, to discover their usefulness. Further properties of schemes will be discussed in the second volume. Ueno's book is a self-contained introduction to this important circle of ideas, assuming only a knowledge of basic notions from abstract algebra (such as prime ideals). It is suitable as a text for an introductory course on algebraic geometry. Bestandsnummer des Verkäufers LU-9780821808627
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Algebraic Geometry 1
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American Mathematical Society, 1999
ISBN 10: 0821808621
ISBN 13: 9780821808627
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Zustand: New. By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties. Series: Translations of Mathematical Monographs Reprint. Num Pages: 168 pages, index. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 215 x 132 x 10. Weight in Grams: 214. . 1999. Paperback. . . . . Bestandsnummer des Verkäufers V9780821808627
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Algebraic Geometry 1, Volume 1 From Algebraic Varieties to Schemes
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Paperback. Zustand: Brand New. uk ed. edition. 168 pages. 8.75x5.75x0.50 inches. In Stock. Bestandsnummer des Verkäufers __0821808621
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Algebraic Geometry 1: From Algebraic Varieties to Schemes (Translations of Mathematical Monographs Volume 185)
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Algebraic Geometry 1
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ISBN 10: 0821808621
ISBN 13: 9780821808627
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Zustand: New. By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties. Series: Translations of Mathematical Monographs Reprint. Num Pages: 168 pages, index. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 215 x 132 x 10. Weight in Grams: 214. . 1999. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821808627
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ISBN 13: 9780821808627
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Algebraic Geometry 1, Volume 1
Verlag:
American Mathematical Society, US, 1999
ISBN 10: 0821808621
ISBN 13: 9780821808627
Neu
Paperback
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Paperback. Zustand: New. This is the first of three volumes on algebraic geometry. The second volume, ""Algebraic Geometry 2: Sheaves and Cohomology"", is available from the AMS as Volume 197 in the ""Translations of Mathematical Monographs"" series. Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them.Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring.By studying algebraic varieties over a field, Ueno demonstrates how the notion of schemes is necessary in algebraic geometry. This first volume gives a definition of schemes and describes some of their elementary properties. It is then possible, with only a little additional work, to discover their usefulness. Further properties of schemes will be discussed in the second volume. Ueno's book is a self-contained introduction to this important circle of ideas, assuming only a knowledge of basic notions from abstract algebra (such as prime ideals). It is suitable as a text for an introductory course on algebraic geometry. Bestandsnummer des Verkäufers LU-9780821808627
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