3 papers
math.AG2026
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…
math.AG2024
Deformations of pullback foliations
Pablo Perrella
We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theor…
math.AG2024
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…