Constructions of K-Regular Maps Using Finite Local Schemes
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Intro
Manifolds
k-regular maps and interpolating subspaces
Setting
Non-monomial examples
Two constructions
Bounds for k-regular maps C
Bounds for any m, for k-regular maps C
The Ring
First k regular maps
Projections for embeddings
Projections and secant lines
Secant varieties
Projcetions for k-regular maps
Local approach
Local pictures
Punctual variant of a secant variety
Hilbert scheme
Why areoles?
Why Gorenstein?
Comparison
The return of the interpolation
Naive interpolation
Scheme theoretic method
Other types of k-regularity
Taught by
Applied Algebraic Topology Network