On the Cohomology of Spatial Polygons in Euclidean Spaces

Vehbi Emrah Paksoy

On the Cohomology of Spatial Polygons in Euclidean Spaces

Vehbi Emrah Paksoy

Department of Mathematics

Research output: Working paper › Preprint

Abstract

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.

Original language	American English
State	Published - Nov 1 2006

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Name	arXiv

Disciplines

Mathematics

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On the Cohomology of Spatial Polygons in Euclidean SpacesFinal published version, 232 KBLicense: Unspecified

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N2 - 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.

AB - 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.

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M3 - Preprint

T3 - arXiv

BT - On the Cohomology of Spatial Polygons in Euclidean Spaces

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On the Cohomology of Spatial Polygons in Euclidean Spaces

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