Small rational model of subspace complement

Mathematics – Combinatorics

Scientific paper

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30 pages

Scientific paper

In the paper we compute the ring strucure on the rational cohomology of a
complex subspace complement. For that we construct a small differential graded
subalgebra of the De Concini-Procesi wonderful model that is quasi isomorphic
to this model. For two classes of arrangements explicit presentation of the
ring is given.

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