P-adic Analysis: Proceedings of the International Conference Held in Trento, Italy, May 29-June 2, 1989, Issue 1454Francesco Baldassarri, Siegfried Bosch, Bernard M. Dwork |
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Page 66
... subsets of X , then T is a Banach - Stone map . Proof . Let xe X. Let U , V be two disjoint clopen subsets of X. If c ... subset of X. By ( [ vR ] , p.188 ) , every orthonormal set of characteristic functions of clopen sets can be ex ...
... subsets of X , then T is a Banach - Stone map . Proof . Let xe X. Let U , V be two disjoint clopen subsets of X. If c ... subset of X. By ( [ vR ] , p.188 ) , every orthonormal set of characteristic functions of clopen sets can be ex ...
Page 143
... subset of X ( thus associated to an open object of Rig ( X ) ) . Proof . i . Suppose X where f ; E A , every ЄY . If = Spm A is an affinoid space and Y is a rational subset : Y = { x EX ; | fi ( x ) | ≤│fo ( z ) | , i = 1 ... , n } o ...
... subset of X ( thus associated to an open object of Rig ( X ) ) . Proof . i . Suppose X where f ; E A , every ЄY . If = Spm A is an affinoid space and Y is a rational subset : Y = { x EX ; | fi ( x ) | ≤│fo ( z ) | , i = 1 ... , n } o ...
Page 349
... subsets of E. Then bw ' is locally convex , stronger than w ' , but coincides with w ' on bounded subsets of E ' . As jɛ ( E ) = ( E ' , w ' ) ' and bw ' is admissible we have ( E ' , bw ' ) ' = jɛ ( E ) so a convex subset of E ' is w ...
... subsets of E. Then bw ' is locally convex , stronger than w ' , but coincides with w ' on bounded subsets of E ' . As jɛ ( E ) = ( E ' , w ' ) ' and bw ' is admissible we have ( E ' , bw ' ) ' = jɛ ( E ) so a convex subset of E ' is w ...
Contents
B Dwork | 1 |
Y AndrépAdic Betti lattices | 142 |
R F Coleman On the Frobenius matrices of Fermat curves | 204 |
Copyright | |
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abelian varieties algebraic algebraic closure Banach space Banach-Stone map c'est canonical topologies canonique caractéristique catégorie closed immersion cocycle coefficients cohérent coherent sheaf cohomology commutative complexe components congruence conjecture construction Corollary countable type curve D-module d'après defined défini definition démonstration denote dimension Drinfeld modules droite dual duality Dwork élément engendré entier equation exists extension faisceau Fermat filtration finite foncteur formel formula Fréchet space Frobenius Galois gauche Gauss sums Grothendieck Hodge classes holonome homomorphism integer isomorphism isomorphisme l'anneau l'homomorphisme lattice le faisceau Lemma lemme linear lisse local zeta function Math morphisme Newton polygon notation opérateurs différentiels ouvert affine p-adic p-adique peut polynomials Proof Proposition reduction resp result Rham rigid analytic schéma sheaf Soient structure subgroup subset subspace suivant Suppose surjective Theorem théorème théorie tout type fini variété algébrique zeta function