Displaying similar documents to “Relative duality for quasi-coherent sheaves”

Relative ampleness in rigid geometry

Brian Conrad (2006)

Annales de l’institut Fourier

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We develop a rigid-analytic theory of relative ampleness for line bundles and record some applications to faithfully flat descent for morphisms and proper geometric objects. The basic definition is fibral, but pointwise arguments from the algebraic and complex-analytic cases do not apply, so we use cohomological properties of formal schemes over completions of local rings on rigid spaces. An analytic notion of quasi-coherence is introduced so that we can recover a proper object from...