Singular locus of q-logarithmic foliations
Ariel Molinuevo, Federico Quallbrunn
TL;DR
This paper characterizes the singular locus of generic codimension-q logarithmic foliations and explores its connection with unfoldings, providing explicit calculations for projective space cases.
Contribution
It offers a detailed description of the singular locus structure and its relation to unfoldings for logarithmic foliations, including explicit ideal calculations in projective spaces.
Findings
Structured description of singular loci for generic codimension-q logarithmic foliations
Relation established between singular locus and unfoldings of foliations
Explicit calculation of the ideal defining persistent singularities in projective space
Abstract
We determine the structure of the singular locus of generic codimension- logarithmic foliations and its relation with the unfoldings of said foliations. In the case where the ambient variety is the projective space we calculate the graded ideal defining the scheme of persistent singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Advanced Differential Equations and Dynamical Systems