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The Effective Cone of Moduli Spaces of Sheaves on a Smooth Quadric Surface
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posted on 2016-10-19, 00:00 authored by Timothy L. RyanIn this paper, we provide an approach to computing the effective cone of moduli spaces of sheaves on a smooth quadric surface. We find Brill-Noether divisors spanning extremal rays of the effective cone using resolutions of the general elements of the moduli space which are found using the machinery of exceptional bundles. We use this approach to provide many examples of extremal rays in these effective cones. In particular, we completely compute the effective cone of the first fifteen Hilbert schemes of points on a smooth quadric surface.
History
Advisor
Coskun, IzzetDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Ein, Lawrence Huizenga, Jack Riedl, Eric Tucker, KevinSubmitted date
2016-08Language
- en
Issue date
2016-10-19Usage metrics
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