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4 papers
The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements
Hiroaki Terao
The Hodge filtration of the module of derivations on the orbit space of a finite real reflection group acting on an -dimensional Euclidean space was introduced and studied by…
The Poincaré series of the algebra of rational functions which are regular outside hyperplanes
Hiroki Horiuchi, Hiroaki Terao
Let be a finite set of nonzero linear forms in several variables with coefficients in a field of characteristic zero. Consider the -algebra of rat…
Algebras generated by reciprocals of linear forms
Hiroaki Terao
Let be a finite set of nonzero linear forms in several variables with coefficients in a field of characteristic zero. Consider the -algebra of rat…
Logarithmic forms and anti-invariant forms of reflection groups
Hiroaki Terao, Anne V. Shepler
Let W be a finite group generated by unitary reflections and A be the set of reflecting hyperplanes. We will give a characterization of the logarithmic differential forms with pole…