A Concise Introduction to Algebraic Varieties - Brian Osserman

A Concise Introduction to Algebraic Varieties

(Autor)

Buch | Softcover
259 Seiten
2022
American Mathematical Society (Verlag)
978-1-4704-6665-7 (ISBN)
103,35 inkl. MwSt
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.
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.
Erscheinungsdatum
Reihe/Serie Graduate Studies in Mathematics
Verlagsort Providence
Sprache englisch
Gewicht 494 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-6665-1 / 1470466651
ISBN-13 978-1-4704-6665-7 / 9781470466657
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich