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Classroom Contents
Constructions of K-Regular Maps Using Finite Local Schemes
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- 1 Intro
- 2 Manifolds
- 3 k-regular maps and interpolating subspaces
- 4 Setting
- 5 Non-monomial examples
- 6 Two constructions
- 7 Bounds for k-regular maps C
- 8 Bounds for any m, for k-regular maps C
- 9 The Ring
- 10 First k regular maps
- 11 Projections for embeddings
- 12 Projections and secant lines
- 13 Secant varieties
- 14 Projcetions for k-regular maps
- 15 Local approach
- 16 Local pictures
- 17 Punctual variant of a secant variety
- 18 Hilbert scheme
- 19 Why areoles?
- 20 Why Gorenstein?
- 21 Comparison
- 22 The return of the interpolation
- 23 Naive interpolation
- 24 Scheme theoretic method
- 25 Other types of k-regularity
