Local constancy in p-adic families of Galois representations

Mathematische Zeitschrift

Volumn 230, Issue 3, 1999, Pages 569-593

  Kisin, Mark ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033471033     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004706     Document Type: Article

References (28)

1. Artin M., Algebraic Approximation of Structures Over Complete Local Rings, Inst. des Hautes Etudes Sci. Publ. Math. 36 (1969), 23-58.
2. Berkovich V., Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, Vol 33, American, Mathematical Society 1990.
3. Berkovich V., Étale cohomology for non-Archimedean analytic spaces. Inst. des Hautes Etudes Sci. Publ. Math. 78 (1993), 5-161.
4. Bosch S., Güntzer U., Remmert R., Non-Archimedean analysis. A systematic approach, Grundlehren der Mathematischen Wissenschaften, Bd. 261, Springer, Berlin, Heidelberg, New York 1984
5. Bosch S., Lütkebohmert W., Formal and rigid geometry I. Rigid Spaces, Math. Ann. 295 (1993), 291-317.
6. Bierstone E., Milman P.D., Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Invent, math. 128 (1997). 207-302.
7. de Jong A.J., Smoothness, semi-stability and alterations, Inst. des Hautes Etudes Sci. Publ. Math. 83 (1996), 51-93.
8. de Jong A.J., Étale fundamental groups of non-Archimedean analytic spaces. Compositio 97 (1995), 89-118.
9. Grothendieck A. Dieudonné J., Eléments de géométrie algébrique I,II,III,IV, Inst, des Hautes Etudes Sci. Publ. Math. 4, 8, 11, 17, 20, 24, 28, 32 (1961-67).
10. Grothendieck A., Etudes locale des morphismes; germes des espaces analytiques, platitude, morphismes simples. Séminaire H. Cartan 1960/61, Exposé 13 ENS, Paris reprinted by W. A. Benjamin New York (1967).
11. Hironaka H., Resolution of Singularities of an Algebraic Variety, of Characteristic Zero. Ann. Math. 79 (1964), I 109-203,II 205-326.
12. Houzel C., Géométrie Analytique Locale II. Théorie des Morphismes Finis, Séminaire H. Cartan 1960/61, Exposé 19, ENS, Paris, reprinted by W. A. Benjamin New York (1967)
13. Kiehl R., Die De Rham Kohomologic algheraischer Mannigfaltigkeiten über einem bewerteten Körper. Inst, des Hautes Etudes Sci. Publ. Math. 33 (1967). 5-20.
14. Kiehl R., Die analytische Normalität affinoider Ringe, Arch. Math. 18 (1967), 479-484.
15. Kisin M., Local Constancy in Anabelian Families. Submitted
16. Kisin M., Local Constancy in p-adic Families of Galois Representations. Princeton Ph.D thesis (in preparation).
17. Lipman J., Desingularisation of two dimensional Schemes, Ann. Math. 107 151-207, (1978).
18. Lojasiewicz S., Triangulation of semi-analytic sets. Ann. Scu. Norm, di Pisa (1965), 449-474.
19. Lütkebohmert W., Riemann's existence problem for a p-adic field, Invent. Math. 111 (1993), 309-330.
20. Lütkebohmert W., Formal-algebraic and rigid-analytic geometry, Math Ann. 286 (1990), 341-371.
21. Lütkebohmert W., Der Satz von Remmen-Stein in der nichtarchimedischen Funktiontheorie, Math Z. 139 (1974), 69-84.
22. Matsumura H., Commutative Algebra, Mathematics Lecture Note Series. The Benjamin Cummings Publishing Company, 1980
23. Popescu D., General Neron Desingularisation and Approximation, Nagoya Math. J. 104 (1986), 85-115.
24. Raynaud M., Anneaux Locaux Henselians, Lect. Notes in Math. 169, Springer, Berlin, Heidelberg, New York, 1970
25. Grothendieck A., Revêtement Etale et Groupe Fondamental, Lect. Notes in Math. 224, Springer, Heidelberg, 1970
26. Grothendieck A., Cohomologie Locale des Faisceaux Cohérents et Théorèmes des Lefschetz Locaux et Globaux, North-Holland, Amsterdam, 1962
27. Deligne P., Cohomologie étale. Séminaire de Géométrie Algébrique du BoisMarie, Lecture Notes in Math 569, Springer-Verlag, Berlin, New York, 1977
28. Wiles, A. Modular Elliptic Curves and Fermat's Last Theorem, Ann. Math. 141(3) (1995), 443-551.