×

zbMATH — the first resource for mathematics

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

MSC:
14K25 Theta functions and abelian varieties
14L05 Formal groups, \(p\)-divisible groups
14L10 Group varieties
14L17 Affine algebraic groups, hyperalgebra constructions
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] I. Barsotti , Considerazioni sulle funzioni theta , Symp. Math. , 3 ( 1970 ), pp. 247 - 277 . Zbl 0194.52201 · Zbl 0194.52201
[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
[3] I. Barsotti , Moduli canonici e gruppi analitici commutativi , Ann. Scuola Norm. Sup. Pisa , 13 ( 1959 ), pp. 303 - 372 . Numdam | MR 113887 | Zbl 0092.27203 · Zbl 0092.27203
[4] I. Barsotti , A note on abelian varieties , Rend. Circ. Mat. Palermo , 2 ( 1953 ) pp. 236 - 257 . MR 63692 | Zbl 0053.11401 · Zbl 0053.11401
[5] I. Barsotti , Varietà abeliane su corpi p-adici, parte prima, Symp. Math. , 1 ( 1968 ), pp. 109 - 173 . MR 258841 | Zbl 0184.46503 · Zbl 0184.46503
[6] I. Barsotti , Il teorema di dualità per le varietà abeliane ed altri risultati, Rend. Mat. , 13 ( 1954 ), pp. 98 - 114 . MR 66686 | Zbl 0058.37101 · Zbl 0058.37101
[7] J.M. Fontaine , Groupes p-divisibles sur les corps locaux , Astérisque , 47 - 48 , Société Mathématique de France ( 1977 ). MR 498610 | Zbl 0377.14009 · Zbl 0377.14009
[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
[13] I. Barsotti , Abelian varieties over fields of positive characteristic , Rend. Circ. Mat. Palermo , 5 ( 1956 ), pp. 1 - 25 . MR 83181 | Zbl 0075.30103 · Zbl 0075.30103
[14] I. Barsotti , Repartitions on abelian varieties , Illinois J. Math. , 2 ( 1958 ), pp. 43 - 70 . Article | MR 103893 | Zbl 0091.33401 · Zbl 0091.33401
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.