Sheaves of bounded p-adic logarithmic differential forms
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 3, pp. 351-386. 
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     author = {Grosse-Kl\"onne, Elmar},
     title = {Sheaves of bounded $p$-adic logarithmic differential forms},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {351--386},
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Grosse-Klönne, Elmar. Sheaves of bounded $p$-adic logarithmic differential forms. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 3, pp. 351-386. doi : 10.1016/j.ansens.2007.04.001. http://www.numdam.org/articles/10.1016/j.ansens.2007.04.001/

[1] Alon G., De Shalit E., On the cohomology of Drinfel'd's p-adic symmetric domain, Israel J. Math. 129 (2002) 1-20. | MR | Zbl

[2] Breuil C., Invariant ℒ et série spéciale p -adique, Ann. Sci. École Norm. Sup. (4) 37 (4) (2004) 559-610. | DOI | Numdam | MR | Zbl

[3] De Shalit E., Residues on buildings and de Rham cohomology of p-adic symmetric domains, Duke Math. J. 106 (1) (2001) 123-191. | MR | Zbl

[4] Grosse-Klönne E., Acyclic coefficient systems on buildings, Compositio Math. 141 (2005) 769-786. | MR

[5] Grosse-Klönne E., Integral structures in the p-adic holomorphic discrete series, Representation Theory 9 (2005) 354-384. | MR | Zbl

[6] Grosse-Klönne E., Frobenius and monodromy operators in rigid analysis, and Drinfel'd's symmetric space, J. Algebraic Geom. 14 (2005) 391-437. | MR | Zbl

[7] Grosse-Klönne E., Integral structures in automorphic line bundles on the p-adic upper half plane, Math. Ann. 329 (2004) 463-493. | MR | Zbl

[8] Humphreys J.E., Introduction to Lie Algebras and Representation Theory, Springer, Berlin-Heidelberg-New York, 1972. | Zbl

[9] Illusie L., Réduction semi-stable ordinaire, cohomologie étale p-adique et cohomologie de de Rham d'après Bloch-Kato et Hyodo, in: Astérisque, vol. 223, SMF, Paris, 1994, pp. 209-220. | Zbl

[10] Iovita A., Spiess M., Logarithmic differential forms on p-adic symmetric spaces, Duke Math. J. 110 (2) (2001) 253-278. | MR | Zbl

[11] Ito T., Weight-monodromy conjecture for p-adically uniformized varieties, Invent. Math. 159 (3) (2005) 607-656. | MR

[12] Jantzen J.C., Representations of Algebraic Groups, Academic Press, Boston, 1987. | MR | Zbl

[13] Kiehl R., Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Invent. Math. 2 (1967) 256-273. | MR | Zbl

[14] Mustafin G.A., Non-Archimedean uniformization, Math. USSR Sbornik 34 (1987) 187-214. | Zbl

[15] Rapoport M., Zink T., Period Spaces for p-Divisible Groups, Ann. Math. Studies, vol. 141, Princeton Univ. Press, 1996. | MR | Zbl

[16] Schneider P., The cohomology of local systems on p-adically uniformized varieties, Math. Ann. 293 (1992) 623-650. | MR | Zbl

[17] Schneider P., Teitelbaum J., p-adic boundary values, in: Cohomologies p-adiques et applications arithmétiques, I, Astérisque, vol. 278, 2002, pp. 51-125. | Numdam | MR | Zbl

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