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Cristante, V.

Theta functions and Barsotti-Tate groups. (English) Zbl 0438.14027

Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 181-215 (1980).
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Cited in 10 Documents

MSC:

14K25 Theta functions and abelian varieties
14L05 Formal groups, \(p\)-divisible groups
14L10 Group varieties
14L17 Affine algebraic groups, hyperalgebra constructions

Keywords:

Barsotti-Tate groups; divisor on a abelian variety; Witt bivectors; Barsotti operators; group varieties; theta functions
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\textit{V. Cristante}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 181--215 (1980; Zbl 0438.14027)
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References:

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[2] I. Barsotti , Metodi analitici per varietà abeliane in caratteristica positiva . Capitoli 1, 2; Capitoli 3, 4; Capitolo 5; Capitolo 6; Capitolo 7, Ann. Scuola Norm. Sup. Pisa , 18 ( 1964 ), pp. 1 - 25 ; 19 ( 1965 ), pp. 277 - 330 ; 19 ( 1965 ), pp. 481 - 512 ; 20 ( 1966 ), pp. 101 - 137 ; 20 ( 1966 ), pp. 331 - 365 . Numdam · Zbl 0121.16104
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[8] G. Gerotto , Alcuni elementi di teoria degli ipercorpi , Ann. Mat. Pura Appl. , 115 ( 1977 ), pp. 349 - 379 . MR 476768 | Zbl 0385.14013 · Zbl 0385.14013
[9] D. Mumford , Abelian varieties , Oxford Univ. Press , London , 1974 . MR 282985 | Zbl 0326.14012 · Zbl 0326.14012
[10] D. Mumford , On the equations defining abelian varieties, I, II, III , Invent. Math. , 1 ( 1966 ), pp. 287 - 354 ; 3 ( 1967 ), pp. 75 - 135 ; 3 ( 1967 ), pp. 215 - 244 . MR 204427 | Zbl 0219.14024 · Zbl 0219.14024
[11] D. Mumford , Bi-extensions of formal groups, in Algebraic geometry , Tata Inst. F. R. Stud. in Math. n. 4, Oxford Univ. Press ( 1969 ), pp. 307 - 322 . MR 257089 | Zbl 0216.33101 · Zbl 0216.33101
[12] T. Oda , The first de Rham cohomology group and Dieudonné modules , Ann. Sci. École Norm. Sup. , 2 ( 1969 ), pp. 63 - 135 . Numdam | MR 241435 | Zbl 0175.47901 · Zbl 0175.47901
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[14] I. Barsotti , Repartitions on abelian varieties , Illinois J. Math. , 2 ( 1958 ), pp. 43 - 70 . Article | MR 103893 | Zbl 0091.33401 · Zbl 0091.33401
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