Titlebook: Rigid Analytic Geometry and Its Applications; Jean Fresnel,Marius Put Textbook 2004 Springer Science+Business Media New York 2004 Area.Mer

洞察力

Affinoid Algebras,he set of maximal ideals of some finitely generated algebra over .. Rigid (analytic) spaces over a complete non-archimedean valued field . are formed in a similar way. A rigid space is obtained by glueing affinoid spaces with respect to a certain Grothendieck topology which we will call a .-topology

PLAYS

Bricklayer

Abelian Varieties,n analytic torus . over a non-archimedean valued field . is introduced. The analytic structure of the analytification . of an algebraic torus . over ., with character group ., is investigated, as well as lattices Λ ? . and the structure of the analytic torus .. For analytic line bundles on ., here r

事與愿違

Points of Rigid Spaces, Rigid Cohomology,icular, there are abelian sheaves . on . such that the stalk . is 0 for every . ∈ .. The obvious reason is that the Grothendieck topology on . is not local enough. The first concept of a sufficient collection of points for a rigid space is presented in [198]. This concept, its generalizations and ri

陪審團

Etale Cohomology of Rigid Spaces,ell known for real and complex varieties. Especially for algebraic varieties over a field of positive characteristic, this theory produces surprising analogies with the algebraic topology of real or complex varieties. One of the early successes is of course the proof of the Weil conjectures. For rig

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可憎

小官

怒目而視

脫毛

Abelian Varieties,he uniformization of general abelian varieties over . is sketched. The results, presented in this chapter, are the work of many authors, A. Grothendieck, M. Raynaud, D. Mumford, L. Gerritzen, Y. Manin, V. Drinfeld, S. Bosch, W. Lütkebohmert et al.