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Geometry of the tetrahedron space

Eric Babson·Paul E. Gunnells·Richard Scott
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Abstract

Let X^{circ} be the space of all labeled tetrahedra in P^{3}. In [BGS] we constructed a smooth symmetric compactification X-tilde of X^{circ}. In this article we show that the complement X-tilde smallsetminus X^{circ} is a divisor with normal crossings, and we compute the cohomology ring H^*(X-tilde;Q).

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Eric Babson, Paul E. Gunnells, Richard Scott. 2002-09-11. Geometry of the tetrahedron space. https://arxiv.org/abs/math/0208119

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