5 papers
The logarithmic leaf complex and foliated d-semistability
Mauricio Corrêa, Pablo Perrella, Sebastián Velazquez
We study holomorphic foliations on normal crossings varieties arising as semistable degenerations. We do so by we exploring the notion of foliated d-semistability using the languag…
On moduli of foliated surfaces
Calum Spicer, Roberto Svaldi, Sebastian Velazquez
We present a definition of stable family of foliations and show that the corresponding moduli functor for foliated surfaces is representable by a Deligne-Mumford stack.
Phase retrieval from short-time Fourier transform in LCA groups
Natalia Accomazzo, Daniel Carando, Rocio Nores +2
We study the short-time Fourier transform phase retrieval problem in locally compact abelian groups. Using probabilistic methods, we show that for a large class of groups and c…
Stability of pullbacks of foliations on weighted projective spaces
Javier Gargiulo Acea, Ariel Molinuevo, Federico Quallbrunn +1
We show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations with a split tangent sheaf on weighted projective spaces. As a consequen…
Extendability of foliations
Pablo Perrella, Sebastián Velazquez, Sebastián Velazquez
Given a foliation on and an embedding , is there a foliation on extending ? Using formal methods, we show that this question has an…