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The red book of varieties and schemes
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Some algebra
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Chapter 2
Irreducible algebraic sets
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Chapter 3
Definition of a morphism: I
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Chapter 4
Sheaves and affine varieties
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Chapter 5
Definition of prevarieties and morphism
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Chapter 6
Products and the Hausdorff Axiom
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Chapter 7
Dimension
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Chapter 8
The fibres of a morphism
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Chapter 9
Complete varieties
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Chapter 10
Complex varieties
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Chapter 11
Spec (R)
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Chapter 12
The category of preschemes
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Chapter 13
Varieties are preschemes
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Chapter 14
Fields of definition
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Chapter 15
Closed subpreschemes
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Chapter 16
The functor of points of a prescheme
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Chapter 17
Proper morphisms and finite morphisms
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Chapter 18
Specialization
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Chapter 19
Quasi-coherent modules
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Chapter 20
Coherent modules
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Chapter 21
Tangent cones
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Chapter 22
Non-singularity and differentials
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Chapter 23
Étale morphisms
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Chapter 24
Uniformizing parameters
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Chapter 25
Non-singularity and the UFD property
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Chapter 26
Normal varieties and normalization
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Chapter 27
Zariski’s Main Theorem
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Chapter 28
Flat and smooth morphisms
Overall attention for this book and its chapters
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Mentioned by
blogs
1
blog
syllabi
5
institutions with syllabi
Citations
dimensions_citation
122
Dimensions
Book overview
1. Some algebra
2. Irreducible algebraic sets
3. Definition of a morphism: I
4. Sheaves and affine varieties
5. Definition of prevarieties and morphism
6. Products and the Hausdorff Axiom
7. Dimension
8. The fibres of a morphism
9. Complete varieties
10. Complex varieties
11. Spec (R)
12. The category of preschemes
13. Varieties are preschemes
14. Fields of definition
15. Closed subpreschemes
16. The functor of points of a prescheme
17. Proper morphisms and finite morphisms
18. Specialization
19. Quasi-coherent modules
20. Coherent modules
21. Tangent cones
22. Non-singularity and differentials
23. Étale morphisms
24. Uniformizing parameters
25. Non-singularity and the UFD property
26. Normal varieties and normalization
27. Zariski’s Main Theorem
28. Flat and smooth morphisms
Summary
Blogs
Syllabi
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
6
syllabi from
5
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
McGill University
1
Unknown
University of Sydney
1
Unknown
Instituto Nacional de Matemática Pura e Aplicada - IMPA
1
Unknown
University of Toronto
1
Unknown
Unknown
2
Unknown