A concise introduction to algebraic varieties / Brian Osserman.

Author/creator Osserman, Brian David, 1977- author.
Format Electronic
PublicationProvidence, Rhode Island : American Mathematical Society, [2021]
Copyright Date©2021
Description1 online resource (xvi, 259 pages) : illustrations.
Supplemental ContentEBSCOhost
Subjects

SeriesGraduate 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 noteIncludes bibliographical references and index.
Source of descriptionPrint version record.
Issued in other formPrint version: Osserman, Brian David, 1977- Concise introduction to algebraic varieties. Providence, Rhode Island : American Mathematical Society, [2021] 9781470460136
Genre/formElectronic books.
ISBN9781470466640 (electronic bk.)
ISBN1470466643 (electronic bk.)
ISBN(hardcover ; acid-free paper)
ISBN(hardcover ; acid-free paper)
ISBN(paperback)
ISBN(paperback)

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