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On invariance of plurigenera for foliations on surfaces
Published 3 Feb 2015 in math.AG and math.CV | (1502.00817v2)
Abstract: We show that if $(X_t,\mathcal{F}_t)_t$ is a family of foliations with reduced singularities on a smooth family of surfaces, then invariance of plurigenera holds for sufficiently large $m$. On the other hand, we provide examples on which the result fails, for small values of $m$.
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