Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements
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概要
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We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an arbitrary multiplicity. In particular, when the Coxeter arrangement is irreducible with a constant multiplicity, the primitive filtration was studied in [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., [6]).
- 2011-03-15
著者
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寺尾 宏明
北海道大学理学部数学科
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Terao Hiroaki
International Christian University
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Terao Hiroaki
Department Of Mathematics International Christian University
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Terao Hiroaki
Department Of Mathematics University Of Wisconsin
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