Geometry of the tetrahedron space

Details Geometry of the tetrahedron space Geometry of the tetrahedron space

2002-08-14

arxiv.org/abs/math/0208119v5

Mathematics

Algebraic Geometry

Replaced with revised version (minor edits only)

Scientific paper

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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