1. Abhyankar, S.: Local uniformization of algebraic surfaces over ground fields of characteristic p ≠ 0. Ann. Math. 63 (1956), 491–526. [One of the first contributions to the global resolution problem in positive characteristic.]
2. Abhyankar, S.: Desingularization of plane curves. In: Summer Institute on Algebraic Geometry. Arcata 1981, Proc. Symp. Pure Appl. Math. 40 Amer. Math. Soc. [Discusses invariants as the maximal slope for plane curves and explains problems which are special for positive characteristic. Describes Tschirnhausen transformations.]
3. Abhyankar, S.: Current status of the resolution problem. Summer Institute on Algebraic Geometry 1964. Proc. Amer. Math. Soc. [Surveys the situation before and around Hironaka’s Annals paper.]
4. Abhyankar, S.: Algebraic Geometry for Scientists and Engineers. Math. Surveys and Monographs 35. Amer. Math. Soc. 1990. [Provides a description of the state of the art in resolution of singularities and related problems (p. 253).]
5. Abhyankar, S.: Analytic desingularization in characteristic zero. Preprint 1996. [Local resolution of hypersurfaces, cf. with [BM 2].]