  Suppose that f:V->W is an embedding of closed oriented manifolds whose normal
bundle has the structure of a complex vector bundle. It is well known in both
complex and symplectic geometry that one can then construct a manifold W' which
is the blow-up of W along V. Assume that dim(W)>2.dim(V)+2 and that H^1(f) is
injective. We construct an algebraic model of the rational homotopy type of the
blow-up W' from an algebraic model of the embedding and the Chern classes of
the normal bundle. This implies that if the space W is simply connected then
the rational homotopy type of W' depends only on the rational homotopy class of
f and on the Chern classes of the normal bundle.
