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Geometry of the Dual Grassmannian
thesis
posted on 2011-10-20, 00:00 authored by Richard AbdelkerimLinear sections of Grassmannians provide important examples of varieties. The geometry of these linear sections is closely tied to the spaces of Schubert varieties contained in them. In this monograph, we describe the spaces of Schubert varieties contained in hyperplane sections of G(2,n). The group PGL(n) acts with finitely many orbits on the dual of the Plucker space P^*(\bigwedge^2 V ). The orbits are determined by the singular locus of a hyperplane section. For H in each orbit, we describe the spaces of Schubert varieties contained in the hyperplane section. We also discuss some generalizations to G(k,n).
History
Advisor
Coskun, IzzetDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Ein, Lawrence Popa, Mihnea Chen, Dawei Ramsey, NicholasPublisher Statement
Dissertation 2011Language
- en_US
Issue date
2011-10-20Usage metrics
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