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arxiv: 0912.1779 · v2 · submitted 2009-12-09 · 🧮 math.DS · math.AG· math.RT

The characteristic variety of a generic foliation

classification 🧮 math.DS math.AGmath.RT
keywords characteristicgenericsubvarietiesvarietybernstein-luntsbesidesconfirmconjecture
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We confirm a conjecture of Bernstein-Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.

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