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Local cohomology of logarithmic forms

G. DenhamH. SchenckM. SchulzeM. WakefieldU. Walther — 2013

Annales de l’institut Fourier

Let Y be a divisor on a smooth algebraic variety X . We investigate the geometry of the Jacobian scheme of Y , homological invariants derived from logarithmic differential forms along Y , and their relationship with the property that Y be a free divisor. We consider arrangements of hyperplanes as a source of examples and counterexamples. In particular, we make a complete calculation of the local cohomology of logarithmic forms of generic hyperplane arrangements.

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