Hilbert Schemes, Vector Bundles and Curves
Math 7800-Spring 2022
Introduction and Hartshorne Cliff Notes
Moduli
Schemes
Coherent Sheaves
Cohomology and Other Derived Functors
Moduli Under Construction
Constructing the Grassmannian
Constructing the Quot Scheme
Vector Bundles on Curves
Moduli of Vector Bundles on Curves
Some Archival Notes on GIT
Hilbert's 14th
Affine and Projective GIT
Numerical Criterion
Application to Vector Bundles on a Curve