5 papers · 1 filter
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
The birational geometry of foliations exhibits phenomena that are fundamentally different than the case of varieties and that complicate the construction of a satisfactory moduli t…
Extendability of foliations
Pablo Perrella, 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…
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…
Moduli spaces of Lie algebras and foliations
Sebastian Lucas Velazquez
Let be a smooth projective variety over the complex numbers and the scheme parametrizing -dimensional Lie subalgebras of . This article is dedic…