On the Eisenstein Ideal of Drinfeld Modular Curves
نویسندگان
چکیده
Let E(p) denote the Eisenstein ideal in the Hecke algebra T(p) of the Drinfeld modular curve X0(p) parameterizing Drinfeld modules of rank two over Fq[T ] of general characteristic with Hecke level p-structure, where p⊳ Fq[T ] is a nonzero prime ideal. We prove that the characteristic p of the field Fq does not divide the order of the quotient T(p)/E(p) and the Eisenstein ideal E(p) is locally principal.
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