Kavli Affiliate: Tomoyuki Abe
| Summary:
Let $G$ be a finite group and $A$ be a regular local ring on which $G$ acts. Under certain assumptions on $A$ and the action, Serre defined a function $a_Gcolon GrightarrowmathbbZ$ which can be viewed as a higher dimensional analogue of Artin character, and conjectured that it is associated to a $mathbbQ_ell$-rational representation of $G$ for any prime $ell$ invertible in $A$. We prove this conjecture in the equal characteristic case.
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