509 research outputs found

    Product formula for p-adic epsilon factors

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    Let X be a smooth proper curve over a finite field of characteristic p. We prove a product formula for p-adic epsilon factors of arithmetic D-modules on X. In particular we deduce the analogous formula for overconvergent F-isocrystals, which was conjectured previously. The p-adic product formula is the equivalent in rigid cohomology of the Deligne-Laumon formula for epsilon factors in l-adic \'etale cohomology (for a prime l different from p). One of the main tools in the proof of this p-adic formula is a theorem of regular stationary phase for arithmetic D-modules that we prove by microlocal techniques.Comment: Revised version: some proofs and constructions detailed, notation improved, index of notation added ; 88 page

    Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras

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    We prove an analogue of the Tate conjecture on homomorphisms of abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.Comment: 9 page

    Numerical analysis of turbine blade cooling ducts

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    Numerical analysis of turbine blade cooling ducts

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    My Flesh is Your Pasture

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    Painting my body frees it from the limits of reality. My body exists in a collaged state between man and woman, human and animal, abstract and figurative. By embracing my body’s power as an object, it isn’t limited to being a representation of myself. My painted body can be owned or identified with. It can be feared, hated, and lusted after. I submit my body, blasting it with horror, humor, and a sheer sense of enjoyment
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