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A conjecture on poincaré-betti series of modules of differential operators on a generic hyperplane arrangement
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2005 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 14, no 4, 445-456 p.Article in journal (Refereed) Published
Abstract [en]

Holm [Holm 04, Holm 02] studied modules of higher-order differential operators (generalizing derivations) on generic (central) hyperplane arrangements. We use his results to determine the Hubert 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 [Yuzvinsky 91] and Rose and Terao [Rose and Terao 91 ] © A K Peters, Ltd.

Place, publisher, year, edition, pages
2005. Vol. 14, no 4, 445-456 p.
Keyword [en]
hyperplane arrangements, differential operators, betti numbers
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-41840Local ID: 59166OAI: oai:DiVA.org:liu-41840DiVA: diva2:262695
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Snellman, Jan

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