Complex Analytic Desingularization

[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka''s general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so st...