Bulletin of the American Mathematical Society

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Book Information:

Authors: 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.

Authors: 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.

Francesco Baldassarri, Comparaison entre la cohomologie algébrique et la cohomologie $p$-adique rigide à coefficients dans un module différentiel, Study group on ultrametric analysis, 12th year, 1984/85, No. 2, Secrétariat Math., Paris, 1985, pp. Exp. No. 19, 8 (French). MR 848998

Siegfried Bosch and Werner Lütkebohmert, Stable reduction and uniformization of abelian varieties. I, Math. Ann. 270 (1985), no. 3, 349–379. MR 774362, DOI 10.1007/BF01473432

Robert F. Coleman, Torsion points on curves and $p$-adic abelian integrals, Ann. of Math. (2) 121 (1985), no. 1, 111–168. MR 782557, DOI 10.2307/1971194

Ching-Li Chai, Compactification of Siegel moduli schemes, London Mathematical Society Lecture Note Series, vol. 107, Cambridge University Press, Cambridge, 1985. MR 853543, DOI 10.1017/CBO9780511721298

V. G. Drinfel′d, Elliptic modules, Mat. Sb. (N.S.) 94(136) (1974), 594–627, 656 (Russian). MR 0384707

G. Faltings, Arithmetische Kompaktifizierung des Modulraums der abelschen Varietäten, Workshop Bonn 1984 (Bonn, 1984) Lecture Notes in Math., vol. 1111, Springer, Berlin, 1985, pp. 321–383 (German). MR 797429, DOI 10.1007/BFb0084598

L. Gerritzen, Die Jacobi-Abbildung über dem Raum der Mumfordkurven, Math. Ann. 261 (1982), no. 1, 81–100 (German). MR 675209, DOI 10.1007/BF01456412

Lothar Gerritzen and Marius van der Put, Schottky groups and Mumford curves, Lecture Notes in Mathematics, vol. 817, Springer, Berlin, 1980. MR 590243

David Goss, The algebraist’s upper half-plane, Bull. Amer. Math. Soc. (N.S.) 2 (1980), no. 3, 391–415. MR 561525, DOI 10.1090/S0273-0979-1980-14751-5

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

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

David Mumford, An analytic construction of degenerating curves over complete local rings, Compositio Math. 24 (1972), 129–174. MR 352105

David Mumford, An analytic construction of degenerating abelian varieties over complete rings, Compositio Math. 24 (1972), 239–272. MR 352106

D. Mumford, An algebraic surface with $K$ ample, $(K^{2})=9$, $p_{g}=q=0$, Amer. J. Math. 101 (1979), no. 1, 233–244. MR 527834, DOI 10.2307/2373947

Yu. Manin and V. Drinfeld, Periods of $p$-adic Schottky groups, J. Reine Angew. Math. 262(263) (1973), 239–247. MR 396582, DOI 10.1142/9789812830517_{0}012

Marius van der Put, Stable reductions of algebraic curves, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), no. 4, 461–478. MR 770734

P. Schneider, Rigid-analytic $L$-transforms, Number theory, Noordwijkerhout 1983 (Noordwijkerhout, 1983) Lecture Notes in Math., vol. 1068, Springer, Berlin, 1984, pp. 216–230. MR 756097, DOI 10.1007/BFb0099455

Ulrich Stuhler, $p$-adic homogeneous spaces and moduli problems, Math. Z. 192 (1986), no. 4, 491–540. MR 847001, DOI 10.1007/BF01162699

John Tate, Rigid analytic spaces, Invent. Math. 12 (1971), 257–289. MR 306196, DOI 10.1007/BF01403307

Michel Raynaud, Géométrie analytique rigide d’après Tate, Kiehl,$\cdots$, Table Ronde d’Analyse non archimédienne (Paris, 1972) Bull. Soc. Math. France, Mém. No. 39–40, Soc. Math. France, Paris, 1974, pp. 319–327 (French). MR 0470254, DOI 10.24033/msmf.170

[B] F. Baldassarri, Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module differentiel. I, II, preprint, Padova, 1985. MR 0848998




[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