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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:
 14N10 Enumerative problems (algebraic geometry) 17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
##### References:
 [1] C. De Concini and C. Procesi.Hyperplane arrangements and holonomy equations. Selecta Math., (to appear) (1995). [2] P. Deligne.Théorie de Hodge II. Publ. Math. I H E S,40 (1971), 5–58. [3] V. G. Drinfeld. On quasi triangular quasi-Hopf algebras and a group closely connected with Gal . Leningrad Math. J.,2 (1991), 829–860. [4] R. Fulton and R. MacPherson.A compactification of configuration space. Annals of Math.,139 (1994), 183–225. · Zbl 0820.14037 · doi:10.2307/2946631 [5] M. Goresky and R. MacPherson.Stratified Morse Theory Springer Verlag (1988). [6] S. Keel.Intersection theory of moduli space of stable N-pointed curves of genus0. T.A.M.S.,330 (1992), 545–574. · Zbl 0768.14002 · doi:10.2307/2153922 [7] V.G. Knizhnik and A.B. Zamolodchikov.Current algebra and the Wess-Zumino model in two dimensions. Soviet J. of nuclear Physics,247 (1984), 83–103. · Zbl 0661.17020 · doi:10.1016/0550-3213(84)90374-2 [8] J. Morgan.The algebraic topology of smooth algebraic varieties. Publ. Math. I H E S,48 (1978), 137–204. [9] P. Orlik and L. Solomon.Combinatorics and Topology of Complements of Hyperplanes. Inventiones Math.,56 (1980), 167–189. · Zbl 0432.14016 · doi:10.1007/BF01392549