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Vanishing cycles for formal schemes

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References

  • [Ber1] Berkovich, V. G.: Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, vol. 33, American Mathematical Society, 1990

  • [Ber2] Berkovich, V. G.: Étale cohomology for non-Archimedean analytic spaces, Publ. Math. IHES78, 5–161 (1994)

    Google Scholar 

  • [Ber3] Berkovich, V. G.: Vanishing cycles for non-Archimedean analytic spaces, (submitted to Journal of the AMS)

  • [BGR] Bosch, S.; Güntzer, U.; Remmert, R.: Non-Archimedean analysis. A systematic approach to rigid analytic geometry, Grundlehren der Mathematischen Wissenschaften, Bd. 261, Springer, Berlin-Heidelberg-New York, 1984

    Google Scholar 

  • [EGA1] Grothendieck, A.; Dieudonné, J.: Eléments de Géométrie Algébrique. I. Le langage des schémas, Springer, Berlin-Heidelberg-New York, 1971

    Google Scholar 

  • [God] Godement, R.: Topologie Algébrique et Théorie des Faisceux, Hermann, Paris, 1958

    Google Scholar 

  • [Kel] Kelley, J. L.: General Topology, D. Van Nostrand Company, Toronto-London-New York, 1957

    Google Scholar 

  • [Ray] Raynaud, M.: Anneaux Locaux Henséliens, Lecture Notes in Math.169, Springer, Berlin-Heidelberg-New York, 1970

    Google Scholar 

  • [SGA1] Grothendieck, A.: Seminaire de Géométrie Algébrique. I. Revêtements étales et Groupe Fondemental, Lecture Notes in Math.224, Springer, Berlin-Heidelberg-New York, 1971

    Google Scholar 

  • [SGA4] Artin, M., Grothendieck, A., Verdier, J.-L.: Théorie des Topos et Cohomologie Étale des Schémas, Lecture Notes in Math.269, 270, 305, Springer, Berlin-Heidelberg-New York, 1972–1973

    Google Scholar 

  • [SGA41/2] Deligne, P. et al.: Cohomologie Étale, Lecture Notes in Math.569, Springer, Berlin-Heidelberg-New York, 1977

    Google Scholar 

  • [SGA7] Grothendieck, A., Deligne, P., Katz, N.: Groupes de Monodromie en Géométrie Algébrique, Lecture Notes in Math.288, 340 Springer, Berlin-Heidelberg-New York, 1972–1973

    Google Scholar 

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Oblatum 4-VI-1993 & 6-VIII-1993

Incumbent of the Reiter Family Career Development Chair

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Berkovich, V.G. Vanishing cycles for formal schemes. Invent Math 115, 539–571 (1994). https://doi.org/10.1007/BF01231772

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