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Stability and Positivity of Cycles

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posted on 01.08.2019 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.

History

Advisor

Coskun, Izzet

Chair

Coskun, Izzet

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Chen, Dawei Ross, Julius Ein, Lawrence Tucker, Kevin

Submitted date

August 2019

Thesis type

application/pdf

Language

en

Issue date

03/06/2019

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