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An analytic construction of degenerating curves over complete local rings. (English) Zbl 0228.14011


MSC:

14H25 Arithmetic ground fields for curves
11G07 Elliptic curves over local fields
14H10 Families, moduli of curves (algebraic)
14G20 Local ground fields in algebraic geometry
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References:

[1] F. Bruhat AND J. Tits [B-T] Groupes algébriques semi-simple sur un corps local , To appear in Publ. I.H.E.S. · Zbl 0657.20040
[2] P. Deligne AND D. Mumford [D-M] The irreducibility of the space of curves of given genus . Publ. I.H.E.S. 36 (1969) 75-109. · Zbl 0181.48803 · doi:10.1007/BF02684599
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[9] J. Mccabe [Mc] Harvard Univ. thesis on P-adic theta functions , (1968) unpublished.
[10] H. Morikawa [Mo] Theta functions and abelian varieties over valuation rings , Nagoya Math. J. 20 (1962). M. Raynaud · Zbl 0115.39001 · doi:10.1017/S0027763000023631
[11] Modèles de Néron , C.R. Acad. Sci., Paris 262 (1966) 413-414. J.-P. Serre [S] Groupes Discrets, Mimeo . notes from course at College de France, 1968-69.
[12] I. Šafarevitch [Š] Lectures on minimal models , Tata Institute Lecture Notes, Bombay, 1966.
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