On Geometric Construction of Artin Representation
By Tomoyuki Abe
Appears in collection : A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář
A be a regular local ring whose residue field is of characteristic p. Let G be a finite group which acts on A. Under certain condition, Serre defined an integer-valued function on G, and conjectured that the function is the character of a Q_l-rational representation of G. We discuss this conjecture in the equal characteristic situation.
