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A Concise Introduction to Algebraic Varieties
About this Title
Brian Osserman
Publication: Graduate Studies in Mathematics
Publication Year:
2021; Volume 216
ISBNs: 978-1-4704-6013-6 (print); 978-1-4704-6664-0 (online)
DOI: https://doi.org/10.1090/gsm/216
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 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
- Complex varieties and the analytic topology
- A roadmap through algebra
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