RT info:eu-repo/semantics/article T1 IDEALISTIC FLOWERS IN THE REDUCTION OF SINGULARITIES A1 Molina Samper, Beatriz A1 Cano Torres, Felipe AB We present here a proof of the classical reduction of singularities based on the idea of “idealistic flowers”. We follow the general ideas of Maximal Contact Theory, presented in a recent book of Aroca, Hironaka and Vicente, that recovers three old publications of Jorge Juan Institute. The concept of idealistic flowers deals with the globalization problems arising from the local nature of the maximal contact. PB Communications of the Korean Mathematical Society YR 2025 FD 2025 LK https://uvadoc.uva.es/handle/10324/76001 UL https://uvadoc.uva.es/handle/10324/76001 LA eng NO F. Cano and B. Molina-Samper, Idealistic flowers in the reduction of singularities, Commun. Korean Math. Soc. (2025), no.~2, 357--409 DS UVaDOC RD 20-jul-2025