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ISSN 1088-9485(e) ISSN 0273-0979(p)

Book Review

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Book Information

Author(s): S. Bosch, U. Güntzer and R. Remmert
Title: Non-archimedean analysis
Additional book information: Grundlehren der mathematischen Wissenschaften, Vol. 261, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984, xii + 436 pp., $59.00. ISBN 3-540-12546-9

Author(s): Jean Fresnel and Marius van der Put
Title: Géométrie analytique rigide et applications
Additional book information: Progress in Mathematics, Vol. 18, Birkhäuser, Boston, Basel, Stuttgart, 1981, xii + 215 pp., $17.50. ISBN 3-7643-3069-4

References:

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[BL] S. Bosch and W. Lütkebohmert, Stable reduction and uniformization of abelian varieties. II, Invent. Math. 87 (1984), 257-297. MR 767194

[C] R. F. Coleman, Torsion points on curves and p-adic abelian integrals, Ann. of Math. (2) 121 (1985), 111-168. MR 782557

[Ch] Ching-Li Chai, Compactification of Siegel moduli schemes, Thesis, Harvard, 1984. MR 853543

[D] V. G. Drinfel'd, Elliptic modules. I, II, Math. USSR-Sb. 23 (1974), 561-592; 31 (1977), 159-170. MR 384707

[F] G. Faltings, Arithmetische Kompaktifizierung des Modulraumes der abelschen Varietäten, Arbeitstagung Bonn 1984, Springer Lecture Notes in Math., pp. 321-383. MR 797429

[G] L. Gerritzen, Die Jacobi-Abbildung über dem Raum der Mumfordkurven, Math. Ann. 261 (1982), 81-100. MR 675209

[GP] L. Gerritzen and M. van der Put, Schottky groups and Mumford curves, Lecture Notes in Math., vol. 817, Springer-Verlag, Berlin, 1980. MR 590243

[Go] D. Goss, The algebraist's upper half-plane, Bull. Amer. Math. Soc. (N.S.) 2 (1980), 391-415. MR 561525

[H] F. Herrlich, Nichtarchimedische Teichmüllertheorie, Habilitationsschrift Bochum, 1985.

[Ma] Yu. Manin, p-adic automorphic forms, J. Soviet Math. 5 (1976), 279-333.

[M1] D. Mumford, An analytic construction of degenerating curves over complete local rings, Compositio Math. 24 (1972), 129-174. MR 352105

[M2] D. Mumford, An analytic construction of degenerating abelian varieties over complete rings, Compositio Math. 24 (1972), 239-272. MR 352106

[M3] D. Mumford, An algebraic surface with K ample, (K²) = 9, p = q = 0, Amer. J. Math. 101 (1979), 233-244. MR 527834

[MD] Yu Manin and V. Drinfel'd, Periods of p-adic Schottky groups, J. Reine Angew. Math. 262/263 (1973), 239-247. MR 396582

[P] M. van der Put, Stable reductions of algebraic curves, Indag. Math. 46 (1984), 461-478. MR 770734

[Sch] P. Schneider, Rigid-analytic L-transforms, Number Theory, Noordwijkerhout 1983, Proc. Journées Arithm., Springer Lecture Notes in Math., vol. 1068 (1984), pp. 216-230. MR 756097

[St] U. Stuhler, p-adic homogeneous space and moduli problems, preprint, Wuppertal, 1985. MR 847001

[T] J. Tate, Rigid analytic spaces, Invent. Math. 12 (1971), 257-289. MR 306196

[R] M. Raynaud, Géométrie analytique rigide d'après Tate, Kiehl,..., Table Ronde d'Analyse non archimédienne, Bull. Soc. Math. France, Mém. 39-40, 1974. MR 470254

Additional Information:

Reviewer(s):
Lothar Gerritzen

Review Information:
Journal: Bull. Amer. Math. Soc. 15 (1986), 239-243.
DOI: 10.1090/S0273-0979-1986-15490-X
PII: S 0273-0979(1986)15490-X

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