Notes on Tate Conjectures and Arakelov Theory
نویسنده
چکیده
Remark 1.2. As a note on terminology, according to Milne, an affine variety over a field k is a variety isomorphic to the spectrum of a finitely generated k-algebra R such that R ⊗k k that has no nonzero nilpotents. A variety is a separated scheme admitting a covering by finitely many affine schemes [Mil, p. 5]. This is slightly different from Hartshorne’s definition; he requires the base field to be algebraically closed.
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تاریخ انتشار 2004