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The Plücker relations define a projective embedding of the Grass-mann variety Gr(p, n). We give another finite set of quadratic equations which defines the same embedding, and whose elements all have rank 6. This is achieved by constructing a certain finite set of linear maps V p k n → V 2 k 4 , and pulling back the unique Plücker relation on V 2 k 4. We(More)
On Friday, March 24, 2006, Furman University hosted the Carolinas Mathematics Undergraduate Research Conference. The conference was supported by the Mathematical Association of America (NSF Grant DMS0241090). These are the abstracts for the eight undergraduate talks given on that day. Received by the editors April 4, 2006. This conference was supported by(More)
The Plücker relations define a projective embedding of the Grass-mann variety Gr(k, n). We give another set of equations, which defines the same embedding, and whose elements all have rank 6 and are in fact obtained by pulling back the unique Plücker relation on 2 k 4. This is achieved through the construction of a finite set of linear maps k k n → 2 k 4(More)
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