The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements

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dc.creatorTerao, Hiroaki
dc.date2002-05-06
dc.date2002-05-27
dc.date.accessioned2026-07-07T06:26:30Z
dc.date.available2026-07-07T06:26:30Z
dc.descriptionThe Hodge filtration of the module of derivations on the orbit space of a finite real reflection group acting on an $\ell$-dimensional Euclidean space was introduced and studied by K. Saito. The filtration is equivalent data to the flat structure or the Frobenius manifold structure. We will show that the Hodge filtration coincides with the filtration by the order of contacts to the reflecting hyperplanes. Moreover, a standard basis for the Hodge filtration is explicitly given.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0205058
dc.identifierhttp://arxiv.org/abs/math/0205058
dc.identifierManuscripta Math. 118 (2005), 1-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97122
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject32S22: 05E15: 20F55
dc.titleThe Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements
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