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SUMMARY:Javier Gargiulo (IMPA)
DTSTART:20201111T183000Z
DTEND:20201111T200000Z
DTSTAMP:20260423T021528Z
UID:BRAG/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/32/">Ra
 tional pullbacks of toric foliations</a>\nby Javier Gargiulo (IMPA) as par
 t of Brazilian algebraic geometry seminar\n\n\nAbstract\nIn this talk we w
 ill present a short digression about the theory of singular foliations on 
 toric varieties and certain algebraic spaces parametrizing them. In partic
 ular\, we will construct families of singular foliations on a classical pr
 ojective space that arise as pull-backs of foliations on a simplicial tori
 c variety X  under suitable rational maps.  We will focus on the case wher
 e X  is a complete simplicial toric surface.\n\nThe singular set of a foli
 ation is one of the most commonly studied geometric objects in the area. T
 he geometry and topology near a singularity characterize (in some sense) t
 he foliation. Not surprisingly\, most of the approaches to obtain stabilit
 y results for singular foliations involve a detailed study of their singul
 ar locus. In this respect\, we will attempt to describe certain aspects of
  the singular and Kupka scheme of foliations on a toric surface and their 
 corresponding pull-backs. We will also characterize their first order unfo
 ldings and deformations in some cases.\n
LOCATION:https://researchseminars.org/talk/BRAG/32/
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