Foliations by curves with curves as singularities
Copyright policy )Foliations by curves with curves as singularities
Let ℱ be a holomorphic one-dimensional foliation on ℙ n such that the components of its singular locus Σ are curves C i and points p j . We determine the number of p j , counted with multiplicities, in terms of invariants of ℱ and C i , assuming that ℱ is special along the C i . Allowing just one nonzero dimensional component on Σ , we also prove results on when the foliation happens to be determined by its singular locus.
Mathematics - Complex Variables, holomorphic foliations, Dynamical Systems (math.DS), Non-isolated singularities, 510, Mathematics - Algebraic Geometry, non-isolated singularities, Singularities of holomorphic vector fields and foliations, Singularities of vector fields, topological aspects, FOS: Mathematics, Mathematics - Dynamical Systems, Complex Variables (math.CV), Algebraic Geometry (math.AG), Holomorphic foliation
Mathematics - Complex Variables, holomorphic foliations, Dynamical Systems (math.DS), Non-isolated singularities, 510, Mathematics - Algebraic Geometry, non-isolated singularities, Singularities of holomorphic vector fields and foliations, Singularities of vector fields, topological aspects, FOS: Mathematics, Mathematics - Dynamical Systems, Complex Variables (math.CV), Algebraic Geometry (math.AG), Holomorphic foliation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!