A Concise Introduction to Algebraic Varieties (Paperback)

Brian Osserman

ISBN 10: 1470466651 / ISBN 13: 9781470466657

Published by American Mathematical Society, Providence, 2022

About this Item

Paperback. 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. 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 balances generality and accessibility by presenting local and global concepts. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781470466657

Bibliographic Details

• Title: A Concise Introduction to Algebraic Varieties (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 2022
• Language: English
• ISBN 10: 1470466651
• ISBN 13: 9781470466657
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

Brian Osserman