3 papers
math.AG2026
Minimal-Degree Foliations on Cominuscule Grassmannians
Vladimiro Benedetti, Crislaine Kuster, Alan Muniz
Given a cominuscule Grassmannian (or irreducible Hermitian symmetric space) and an integer we compute the minimum such that is not 0. This all…
math.AG2026
Remarks on the second Chern class of a foliation
Alan Muniz
We bound the second Chern class of the tangent sheaf of a codimension-one foliation. Equivalently, we bound the degree of the pure codimension-two part of the singular scheme. In p…
math.AG2025
Degree-one foliations on complete intersections
Mateus Figueira, Crislaine Kuster, Ruben Lizarbe +1
We prove that, under mild restrictions, the space of codimension-one foliations of degree one on a smooth projective complete intersection has two irreducible components of logarit…