Hodge-Deligne polynomials of character varieties of free abelian groups
Hodge-Deligne polynomials of character varieties of free abelian groups
Abstract Let <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>F</m:mi> </m:math> F be a finite group and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>X</m:mi> </m:math> X be a complex quasi-projective <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>F</m:mi> </m:math> F -variety. For <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>r</m:mi> <m:mo>∈</m:mo> <m:mi mathvariant="double-struck">N</m:mi> </m:math> r\in {\mathbb{N}} , we consider the mixed Hodge-Deligne polynomials of quotients <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mrow> …