trans.: The theorems demonstrated using Hironaka's theorem are countless. For the most part, one has the impression that the resolution of singularities is really at the heart of the problem, and cannot be avoided by resorting to different methods.

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "trans.: The theorems demonstrated using Hironaka's theorem are countless. For the most part, one has the impression that the resolution of singularities is really at the heart of the problem, and cannot be avoided by resorting to different methods." in the context of "Alexander Grothendieck: (1970), Actes du Congrès international des mathématiciens 1 chapter: Travaux de Heisouké Hironaka sur la résolution des singularités, pages: 7–9 (quote from p. 8, vol. 1, pdf)" to mean that wisdom is timeless.