De Jong on alterations. Is this the same as this article?
Geisser on applications of alterations. This was published in some volume on RoS, I think
A nice book review
Berthelot: Alterations de varietes algebriques (1997, sem. Bourbaki)
Abyankhar: Resolution of singularities of embedded algebraic surfaces (Springer, 1998)
Lipman: Review of “Canonical desingularization…”
Kollar: The structure of algebraic three-folds: An introduction to Mori’s program
Villamayor: Constructiveness of Hironaka’s resolution
A very good book: Resolution of singularities
Temkin on functorial desingularization of quasi-excellent schemes in char zero.
Resolution of Singularities - Steven Dale Cutkosky
http://mathoverflow.net/questions/4612/hironaka-desingularisation-theorem-new-proofs-in-literature
Lunts: Categorical ROS: http://arxiv.org/pdf/0905.4566v1
Voevodsky’s ICM talk, section 7, mentions work of Bloch in Moving lemma for higher Chow groups, using Spivakovsky’s solution to Hironaka’s polyhedra game, which could maybe allow you to circumvent lack of RoS sometimes.
http://front.math.ucdavis.edu/1002.2651 Bondarko’s application of a RoS result of Gabber (2011).
arXiv:1103.3464 Techniques for the study of singularities with applications to resolution of 2-dimensional schemes from arXiv Front: math.AG by Angélica Benito, Orlando E. Villamayor We give an overview of invariants of algebraic singularities over perfect fields. We then show how they lead to a synthetic proof of embedded resolution of singularities of 2-dimensional schemes.
arXiv:1104.0325 Some natural properties of constructive resolution of singularities from arXiv Front: math.AG by Angélica Benito, Santiago Encinas, Orlando E. Villamayor U These expository notes, addressed to non-experts, are intended to present some of Hironaka’s ideas on his theorem of resolution of singularities. We focus particularly on those aspects which have played a central role in the constructive proof of this theorem
In fact, algorithmic proofs of the theorem of resolution grow, to a large extend, from the so called Hironaka’s fundamental invariant. Here we underline the influence of this invariant in the proofs of the natural properties of constructive resolution, such as: equivariance, compatibility with open restrictions, with pull-backs by smooth morphisms, with changes of the base field, independence of the embedding, etc.
nLab page on Resolution of singularities