Excess logarithmic residues for curve foliations yield global residue formulas for Chern numbers, non-negativity bounds on invariant hypersurfaces, and recover log discrepancies along exceptional divisors in resolutions of Q-Gorenstein surface singularities.
Brunella,Some remarks on indices of holomorphic vector fields, Publ
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Excess logarithmic residues for foliations by curves and applications
Excess logarithmic residues for curve foliations yield global residue formulas for Chern numbers, non-negativity bounds on invariant hypersurfaces, and recover log discrepancies along exceptional divisors in resolutions of Q-Gorenstein surface singularities.