Idempotent Relations and Fundamental Groups of Curves
نویسنده
چکیده
Let C be a smooth projective irreducible curve defined over a finite field k. Let G be a finite subgroup of Aut(C) of order prime to char(k) and M the |G|-th cyclotomic field. We show that certain idempotent relations in M [G] imply relations among arithmetic invariants of the fundamental groups of the quotient curves (C/H)×k k, where H is a subgroup of G.
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تاریخ انتشار 2000