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22 Basic Number Theory SpringerVerlag New York 1967
25 Godement R Introduction a la theorie de Langlands Seminaire Bourbaki
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abelian variety affine algebraic variety analytic automorphisms assume automorphism automorphism g canonical coherent commutative compact connected component connected unipotent group contained coordinates Corollary corresponding curves of genus defined denote divisor element equation equivalent exact sequence exists fiber finite number formal scheme G-orbit group of dimension hence Hironaka scheme homogeneous vector bundle homomorphism implies induces injective integer irreducible isomorphic Jordan algebra Lemma Let G linear linearly independent manifold Math matrix maximal module Moreover morphism non-singular non-singular model non-singular rational curves open neighborhood open subset prime ideal projective Proof proper real-analytic map Proposition prove quotient space rank rational curve real-analytic space regular local ring regular vector bundle representation resp respect satisfies the condition semidirect product sheaf singular fibre singular point Spec stabilizer of G subanalytic subgroup subscheme subvariety surjective tautological linebundle unipotent group vector bundle Zariski