  W. Fulton and R. MacPherson described a Sullivan dg-algebra model for the
space of n-configurations of labeled points in a smooth compact complex
algebraic variety X. I. Kriz then gave a simpler model that depends only on the
cohomology ring of X.
  We construct an even simpler and substantially smaller model for this
configuration space. Using this smaller model, we also define another, new
dg-algebra model, for the space of n-configurations in the variety X with a
point removed. Following an idea of V.G. Drinfel'd, we endow the collection of
these new "punctured" models with a simplicial bigraded differential algebra
structure.
