Geodesic
Formality of the complements of subspace arrangements with geometric lattices
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 235-247

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We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan rational model for such an arrangement complement is formal as a differential graded algebra. 
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     author = {E. M. Feichtner and S. A. Yuzvinskii},
     title = {Formality of the complements of subspace arrangements with geometric lattices},
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E. M. Feichtner; S. A. Yuzvinskii. Formality of the complements of subspace arrangements with geometric lattices. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 235-247. http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a12/