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ISBN 10: 1470466651 ISBN 13: 9781470466657
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ISBN 10: 1470466651 ISBN 13: 9781470466657
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ISBN 10: 1470466651 ISBN 13: 9781470466657
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In den WarenkorbPaperback. Zustand: New. A Concise Introduction to Algebraic Varieties is designed for a one-term introductory course on algebraic varieties over an algebraically closed field, and it provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts, such as nonsingularity, normality, and completeness using the language of atlases, an approach that is most commonly associated with differential topology. The book concludes with a discussion of the Riemann-Roch theorem, the Brill-Noether theorem, and applications. The prerequisites for the book are a strong undergraduate algebra course and a working familiarity with basic point-set topology. A course in graduate algebra is helpful but not required. The book includes appendices presenting useful background in complex analytic topology and commutative algebra and provides plentiful examples and exercises that help build intuition and familiarity with algebraic varieties.
Sprache: Englisch
Verlag: American Mathematical Society, 2021
ISBN 10: 1470466651 ISBN 13: 9781470466657
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ISBN 10: 1470466651 ISBN 13: 9781470466657
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In den WarenkorbZustand: New. Designed for a one-term introductory course on algebraic varieties over an algebraically closed field. The book provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. It b.
Sprache: Englisch
Verlag: American Mathematical Society Apr 2022, 2022
ISBN 10: 1470466651 ISBN 13: 9781470466657
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Sprache: Englisch
Verlag: American Mathematical Society, US, 2022
ISBN 10: 1470466651 ISBN 13: 9781470466657
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In den WarenkorbPaperback. Zustand: New. A Concise Introduction to Algebraic Varieties is designed for a one-term introductory course on algebraic varieties over an algebraically closed field, and it provides a solid basis for a course on schemes and cohomology or on specialized topics, such as toric varieties and moduli spaces of curves. The book balances generality and accessibility by presenting local and global concepts, such as nonsingularity, normality, and completeness using the language of atlases, an approach that is most commonly associated with differential topology. The book concludes with a discussion of the Riemann-Roch theorem, the Brill-Noether theorem, and applications. The prerequisites for the book are a strong undergraduate algebra course and a working familiarity with basic point-set topology. A course in graduate algebra is helpful but not required. The book includes appendices presenting useful background in complex analytic topology and commutative algebra and provides plentiful examples and exercises that help build intuition and familiarity with algebraic varieties.