Wonderful models of subspace arrangements. (English) Zbl 0842.14038

In this paper we construct a canonical blow up of a configuration of linear subspaces of projective space, in which the boundary divisor has normal crossings. This is achieved by defining the notion of irreducible subspaces and nested sets. The example of root systems is extensively discussed. The construction generalizes the model for configuration space by Fulton and MacPherson.
Reviewer: C.Procesi (Roma)


14N10 Enumerative problems (combinatorial problems) in algebraic geometry
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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