Reduction of the singularities of codimension one singular foliations in dimension three

By F. Cano. 2004

80 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Resolution of singularities of arithmetical threefolds (2014, background): “Differential multiplicities and permissible centers have a similar behavior to adapted multiplicities and permissible blowing ups considered in Resolution of Singularities for differential forms and vector fields [76][15][16][17][64][70] and for toroidalization of morphisms [37][34].”
Resolution of singularities for 3-folds in positive characteristic (2006, background): “7 of [Ab8] comes in), and after enough blow ups, there must actually be a drop in ct. The problem with order going up under resolution also occurs in resolution of vector ﬁelds (Seidenberg [Se], Cano [Ca] and Panazzolo [Pa]) and in monomialization of morphisms (Cutkosky [C1], [C3]; and Cutkosky and ”
Resolution of singularities of real-analytic vector fields in dimension three (2006, methodology): “Based on these facts, the global strategy of resolution is similar to the one presented by Cano in [ C2 ], based on the notion of generic equireducibility and bad points.”