Rational points and Coxeter group actions on the cohomology of toric varieties
نویسندگان
چکیده
منابع مشابه
Rational Points and Coxeter Group Actions on the Cohomology of Toric Varieties
We derive a simple formula for the action of a finite crystallographic Coxeter group on the cohomology of its associated complex toric variety, using the method of counting rational points over finite fields, and the Hodge structure of the cohomology. Various applications are given, including the determination of the graded multiplicity of the reflection representation.
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2008
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2364