187,903 research outputs found

    On Dwork cohomology for singular hypersurfaces

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    Let Z be a projective hypersurface over a finite field. With no smoothness assumption, we relate the p-adic cohomology spaces constructed by Dwork in his study of the zeta function of Z to the rigid homology spaces of Z. The key result is a general theorem based on the Fourier transform for arithmetic D-modules which extends to the rigid context results proved in the algebraic one by Adolphson and Sperber, and Dimca, Maaref, Sabbah and Saito. If V, V' are dual vector bundles over a smooth p-adic formal scheme X, u is a section of V' , Z the zero locus of its reduction mod p, this theorem gives an identification between the overconvergent local cohomology of the structure sheaf of X with supports in Z and the relative rigid cohomology of V with coefficients in the Dwork isocrystal associated to u. Thanks to this result, we also give an interpretation of a canonical filtration on the Dwork complexes in terms of the rigid homology spaces of the intersections of Z with intersections of coordinate hyperplanes

    Generalul Berthelot şi dezrobirea românilor

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    Cosma, Aurel Generalul Berthelot şi dezrobirea românilor / Aurel Cosma- junior. - Bucureşti : Imprimeriile Independenţa, 1932. - 22 p. ; 24 cm

    One the P-Adic Local Invariant Cycle Theorem

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    The aim of this paper is to consider the pp-adic local invariant cycle theorem in the mixed characteristic case. In the first part of the paper, via case-by-case discussion, we construct the pp-adic specialization map, and then write out the complete conjecture in pp-adic case. We proved the theorem in good reduction and semistable reduction cases. In the second part of the paper, by using Berthelot, Esnault and R\"{u}lling's trace morphisms in [BER], we first prove the case of coherent cohomology, then we extend it to the Witt vector cohomology, and we then get a result on the Frobenius-stable part of the Witt vector cohomology, which corresponds the slope 0 part of the rigid cohomology, we then get the general pp-adic local invariant cycle theorem. We also give another approach in the H0H^0 and H1H^1 cases in the general case. In the last part of the paper, based on Flach and Morin's work on the weight filtration in the ll-adic case, we consider the pp-adic analogous result (which, together with the ll-adic's result, serves as a part to prove the compatibility of the Weil-etale cohomology with the Tamagawa number conjecture). This is a direct corollary of the local invariant cycle theorem by taking the weight filtration. And we also consider some typical examples that the weight filtration statement could be verified by direct computations.</p

    Berthelot et l'alchimie : Robert Halleux, Marcellin Berthelot, historien de l'alchimie, Comptes rendus, 104e Congrès not. Soc. savantes, Bordeaux, 1979

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    Julien Pierre. Berthelot et l'alchimie : Robert Halleux, Marcellin Berthelot, historien de l'alchimie, Comptes rendus, 104e Congrès not. Soc. savantes, Bordeaux, 1979. In: Revue d'histoire de la pharmacie, 69ᵉ année, n°250, 1981. p. 210

    Berthelot et l'alchimie : Robert Halleux, Marcellin Berthelot, historien de l'alchimie, Comptes rendus, 104e Congrès not. Soc. savantes, Bordeaux, 1979

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    Julien Pierre. Berthelot et l'alchimie : Robert Halleux, Marcellin Berthelot, historien de l'alchimie, Comptes rendus, 104e Congrès not. Soc. savantes, Bordeaux, 1979. In: Revue d'histoire de la pharmacie, 69ᵉ année, n°250, 1981. p. 210

    Commission de patronage

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    Berthelot , Frémy , Troost L., Bouty , Philippon P. Commission de patronage. In: Rapport sur l'École pratique des hautes études, 1889-1892. 1889. p. 2

    Revue scientifique, 7 décembre. — Hommage à Berthelot

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    Pellisson Maurice. Revue scientifique, 7 décembre. — Hommage à Berthelot. In: La revue pédagogique, tome 40, Janvier-Juin 1902. p. 80

    Conseil départemental de l'Allier

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    Berthelot Marcellin. Conseil départemental de l'Allier. In: Bulletin administratif de l'instruction publique. Tome 41 n°734, 1887. p. 19

    A. Ranc, La pensée de Marcellin Berthelot

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    Daumas Maurice. A. Ranc, La pensée de Marcellin Berthelot. In: Revue d'histoire des sciences et de leurs applications, tome 2, n°3, 1949. p. 288
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