A concise introduction to algebraic varieties / Brian Osserman.
| Author/creator | Osserman, Brian David, 1977- author. |
| Format | Electronic |
| Publication | Providence, Rhode Island : American Mathematical Society, [2021] |
| Copyright Date | ©2021 |
| Description | 1 online resource (xvi, 259 pages) : illustrations. |
| Supplemental Content | EBSCOhost |
| Subjects |
| Series | Graduate studies in mathematics, 1065-7339 ; 216 Graduate studies in mathematics ; 216. ^A347883 |
| Contents | Introduction: An overview of algebraic geometry through the lens of plane curves -- Affine algebraic varieties -- Regular functions and morphisms -- Singularities -- Abstract varieties via atlases -- Projective varieties -- Nonsingular curves and complete varieties -- Divisors on nonsingular curves -- Differential forms -- An invitation to the theory of algebraic curves. |
| Abstract | 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. |
| Bibliography note | Includes bibliographical references and index. |
| Source of description | Print version record. |
| Issued in other form | Print version: Osserman, Brian David, 1977- Concise introduction to algebraic varieties. Providence, Rhode Island : American Mathematical Society, [2021] 9781470460136 |
| Genre/form | Electronic books. |
| ISBN | 9781470466640 (electronic bk.) |
| ISBN | 1470466643 (electronic bk.) |
| ISBN | (hardcover ; acid-free paper) |
| ISBN | (hardcover ; acid-free paper) |
| ISBN | (paperback) |
| ISBN | (paperback) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |