Universality theorems for configuration spaces of planar linkages

Mathematics – Algebraic Geometry

Scientific paper

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45 pages, 15 figures. See also http://www.math.utah.edu/~kapovich/eprints.html

Scientific paper

We prove realizability theorems for vector-valued polynomial mappings,
real-algebraic sets and compact smooth manifolds by moduli spaces of planar
linkages. We also establish a relation between universality theorems for moduli
spaces of mechanical linkages and projective arrangements.

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