Stability and Positivity of Cycles
thesisposted on 2019-08-01, 00:00 authored by John Matthias Kopper
We use Bridgeland stability conditions to study restrictions of stable vector bundles on projective varieties. We also study positivity properties of classical moduli spaces of sheaves, particularly Hilbert schemes of points. Positivity of cycles on blow-ups of Grassmannians is discussed in the second half.
DepartmentMathematics, Statistics, and Computer Science
Degree GrantorUniversity of Illinois at Chicago
Degree namePhD, Doctor of Philosophy
Committee MemberChen, Dawei Ross, Julius Ein, Lawrence Tucker, Kevin
Submitted dateAugust 2019