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Projectively flat foliations (2401.03311v1)
Published 6 Jan 2024 in math.AG
Abstract: We describe the structure of regular codimension $1$ foliations with numerically projectively flat tangent bundle on complex projective manifolds of dimension at least $4$. Along the way, we prove that either the normal bundle of a regular codimension $1$ foliation is pseudo-effective, or its conormal bundle is nef.
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