Restrictions of Steiner bundles and divisors on the Hilbert scheme of points in the plane
Contributors: Harris, Joseph D.; Elkies, Noam; Coskun, Izzet
Published: 2012
Language: eng
Description: The Hilbert scheme of n points in the projective plane parameterizes degree n zero-dimensional subschemes of the projective plane. We examine the dual cones of effective divisors and moving curves on the Hilbert scheme. By studying interpolation, restriction, and stability properties of certain vector bundles on the plane we fully determine these cones for just over three fourths of all values of n.
Notes: Keywords: Hilbert scheme, Projective plane, Stability, Vector bundles.

Thesis Ph.D. Harvard University 2012