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arxiv: 1706.06534 · v1 · pith:LLWKWEA2new · submitted 2017-06-20 · 🧮 math.AG · math.DS

Stability of logarithmic differential one-forms

classification 🧮 math.AG math.DS
keywords logarithmiccomponentsfoliationsirreduciblespacestabilityarticlecertain
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This article deals with the irreducible components of the space of codimension one foliations in a projective space defined by logarithmic forms of a certain degree. We study the geometry of the natural parametrization of the logarithmic components and we give a new proof of the stability of logarithmic foliations, obtaining also that these irreducible components are reduced.

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