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2006

Nova Southeastern University

Mathematics Faculty Articles

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On The Cohomology Of Spatial Polygons In Euclidean Spaces, Vehbi Emrah Paksoy Nov 2006

On The Cohomology Of Spatial Polygons In Euclidean Spaces, Vehbi Emrah Paksoy

Mathematics Faculty Articles

Space of spatial polygons in Euclidean spaces has been studied extensively in [3, 1, 2]. There is a beautiful description of cohomology in [1]. In this paper we introduce another, easy to compute method to obtain the cohomology without using toric variety arguments. We also give a criterion for a polygon space to be Fano, thus, having ample anticanonical class.


Maximal Clifford Semigroups Of Matrices, Edmond W. H. Lee Nov 2006

Maximal Clifford Semigroups Of Matrices, Edmond W. H. Lee

Mathematics Faculty Articles

All maximal Clifford semigroups of matrices are identified up to isomorphism. If the ground field of the matrices is finite, then there exists a unique Clifford semigroup of maximum order.