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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)

MSC:
14N10Enumerative problems (algebraic geometry)
17B67Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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