On the stability of foliations of degree 3 with a unique singular point
Abstract
Applying Geometric Invariant Theory (GIT), we study the stability of foliations of degree 3 on P2 with a unique singular point of multiplicity 1, 2, or 3 and Milnor number 13. In particular, we characterize those foliations for multiplicity 2 in three cases: stable, strictly semistable, and unstable.
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