A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement

Details A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement

2004-08-31

arxiv.org/abs/math/0408437v2

Experimental Mathematics, vol 14, number 4, 2005, pp 445-456

Mathematics

Commutative Algebra

Source includes Macaulay 2 and Maple code

Scientific paper

Holm studied modules of higher order differential operators (generalising
derivations) on generic (central) hyperplane arrangements. We use his results
to determine the Hilbert series of these modules. We also give a conjecture
about the Poincar{\'e}-Betti series; these are known for the module of
derivations through the work of Yuzvinsky and of Rose and Terao.

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