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Geometry of the tetrahedron space

Eric Babson, Paul E. Gunnells, Richard Scott

math.AGarXiv:math/0208119

Abstract

Let Xcirc be the space of all labeled tetrahedra in P3. In [BGS] we constructed a smooth symmetric compactification X-tilde of Xcirc. In this article we show that the complement X-tilde smallsetminus Xcirc is a divisor with normal crossings, and we compute the cohomology ring H*(X-tilde;Q).

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