| Singularities of hinge structures (2003) | |||||||||||||||
Abstract | |||||||||||||||
| Motivated by the hinge structure present in protein chains and other molecular conformations, we study the singularities of certain maps associated to body-andhinge and panel-and-hinge chains. These are sequentially articulated systems where two consecutive rigid pieces are connected by a hinge, i.e. a codimension two axis. The singularities correspond to a dimensional drop in the linear span of the axes, regarded as points on a Grassmann variety in its Plücker embedding. The results are valid in arbitrary dimension. 1 | |||||||||||||||
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