Higher codimensional foliations with Kupka singularities
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DOI: 10.1142/s0129167x17500197
Abstract: We consider holomorphic foliations of dimension k > 1 and codimension ≥ 1 in the projective space ℙn, with a compact connected component of the Kupka set. We prove that if the transversal type is… read more here.
Keywords: codimensional foliations; foliations kupka; kupka singularities; transversal type ... See more keywords
Higher codimensional alpha invariants and characterization of projective spaces
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DOI: 10.1142/s0129167x20500123
Abstract: We generalize the definition of alpha invariant to arbitrary codimension. We also give a lower bound of these alpha invariants for K-semistable [Formula: see text]-Fano varieties and show that we can characterize projective spaces among… read more here.
Keywords: alpha; characterization projective; projective spaces; codimensional alpha ... See more keywords