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University of Illinois – Chicago

1. Abdelkerim, Richard. Geometry of the Dual Grassmannian.

Degree: 2011, University of Illinois – Chicago

Linear 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^*(\bigwedge2 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). Advisors/Committee Members: Coskun, Izzet (advisor), Ein, Lawrence (committee member), Popa, Mihnea (committee member), Chen, Dawei (committee member), Ramsey, Nicholas (committee member).

Subjects/Keywords: Exterior Powers of Vector Spaces; Grassmannians; Hyperplane Sections; Schubert Varieties

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Abdelkerim, R. (2011). Geometry of the Dual Grassmannian. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8051

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Thesis, University of Illinois – Chicago. Accessed July 12, 2020. http://hdl.handle.net/10027/8051.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Web. 12 Jul 2020.

Vancouver:

Abdelkerim R. Geometry of the Dual Grassmannian. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10027/8051.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Abdelkerim R. Geometry of the Dual Grassmannian. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8051

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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