A concise introduction to algebraic varieties
"'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 …
Read More ↓Title Statements
- Full title :A concise introduction to algebraic varieties / Brian Osserman.
Summary
"'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."--Back cover.
Read More ↓Edition Statements
- Publication Date:©2021
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2021
The Physical Object
- Description:xvi, 259 pages : : illustrations ; : 27 cm.
Edition Identifiers
- ISBN:9781470460136, 1470460130, 9781470466657, 1470466651
- oclc:on1248600727
- LC Classification:QA564
- Dewey Decimal:516.3/53
Table of 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.
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