Representations of algebraic groups in prime characteristics
George R. Kempf (1981)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties”
Representations of algebraic groups in prime characteristics
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Neither real analytic sets nor the images of real or complex analytic mappings are, in general, coherent. Let be a morphism of real analytic spaces, and let be a homomorphism of coherent modules over the induced ring homomorphism . We conjecture that, despite the failure of coherence, certain natural discrete invariants of the modules of formal relations , , are upper semi-continuous in the analytic Zariski topology of . We prove semicontinuity in many cases (e.g. in the algebraic...