4 papers · 1 filter
On longitudinal differential operators and Nash blowups
Ruben Louis
In this short note, we describe the Helffer-Nourrigat cone of a singular foliation in terms of the Nash algebroid associated to the foliation. Along the way, we show that the Helff…
On Nash resolution of (singular) Lie algebroids
Ruben Louis
Any Lie algebroid admits a Nash-type blow-up that sits in a nice short exact sequence of Lie algebroids $0\rightarrow K\rightarrow \mathrm{Nash}(A)\rightarro…
An invitation to singular foliations
Camille Laurent-Gengoux, Ruben Louis, Leonid Ryvkin
These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and…
A series of Nash resolutions of a singular foliation
Ruben Louis
We construct a series of blowups of a singular foliation by applying to the universal Lie -algebroid of a singular foliation the…