Degree of logarithmic foliations of type (1,1,1)
Algebraic Geometry
2022-10-21 v1 Complex Variables
Dynamical Systems
Abstract
The space of codimension one holomorphic foliations of degree 1 in a projective space has an irreducible component whose general element is a logarithmic differential 1-form with simple poles in three hyperplanes. We compute its projective degree by resolving its rational parametrization map through succesive blow-ups with smooth centers.
Keywords
Cite
@article{arxiv.2111.09134,
title = {Degree of logarithmic foliations of type (1,1,1)},
author = {Mariano Chehebar},
journal= {arXiv preprint arXiv:2111.09134},
year = {2022}
}