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2005 A Conjecture on Poincaré-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement
Jan Snellman
Experiment. Math. 14(4): 445-456 (2005).

Abstract

Holm studied modules of higher-order differential operators (generalizing 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 Poincaré-Betti series; these are known for the module of derivations through the work of Yuzvinsky and Rose and Terao.

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Jan Snellman. "A Conjecture on Poincaré-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement." Experiment. Math. 14 (4) 445 - 456, 2005.

Information

Published: 2005
First available in Project Euclid: 10 January 2006

zbMATH: 1094.13041
MathSciNet: MR2193807

Subjects:
Primary: 13N10 , 14J70

Keywords: free resolution , hyperplane arrangement , Ring of differential operators

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 4 • 2005
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