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20002026
most citedStability of Holomorphic Foliations with Split Tangent Sheaf

34 citations · 185 across the 30 of their papers we have counts for

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Showing 2009Show all

3 papers · 1 filter

math.DS2009

The characteristic variety of a generic foliation

Jorge Vitorio Pereira

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 th…

math.CV2009★ 4 cited

Germs of integrable forms and varieties of minimal degree

Jorge Vitorio Pereira, Carlo Perrone

We study the subvariety of integrable 1-forms in a finite dimensional vector space . We prove that the irreducible components with dimension comparabl…

math.CV2009★ 2 cited

Foliations invariant by rational maps

C. Favre, J. Vitorio Pereira

We give a classification of pairs (F, f) where F is a holomorphic foliation on a projective surface and f is a non-invertible dominant rational map preserving F. We prove that both…