Periods and duality of p -adic Barsotti-Tate groups

Maurizio Candilera; Valentino Cristante

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 4, page 545-593
  • ISSN: 0391-173X

How to cite

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Candilera, Maurizio, and Cristante, Valentino. "Periods and duality of $p$-adic Barsotti-Tate groups." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.4 (1995): 545-593. <http://eudml.org/doc/84216>.

@article{Candilera1995,
author = {Candilera, Maurizio, Cristante, Valentino},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Barsotti-Tate group; -divisible group; Witt vectors; periods; integration of differential forms of the second kind},
language = {eng},
number = {4},
pages = {545-593},
publisher = {Scuola normale superiore},
title = {Periods and duality of $p$-adic Barsotti-Tate groups},
url = {http://eudml.org/doc/84216},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Candilera, Maurizio
AU - Cristante, Valentino
TI - Periods and duality of $p$-adic Barsotti-Tate groups
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 4
SP - 545
EP - 593
LA - eng
KW - Barsotti-Tate group; -divisible group; Witt vectors; periods; integration of differential forms of the second kind
UR - http://eudml.org/doc/84216
ER -

References

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  1. [CO] R.F. Coleman, Hodge-Tate periods and p-adic abelian integrals. Invent. Math.78 (1984), 351-379. Zbl0572.14024MR768985
  2. [COL] P Colmez, Périodes p-adiques des variétés abéliennes. Math. Ann.292 (1992), 629-644. Zbl0793.14033MR1157318
  3. [FO1] J.-M. Fontaine, Groupes p-divisibles sur les Corps Locaux. Astérisque47-48 (1977). Zbl0377.14009MR498610
  4. [FO2] J.-M. Fontaine, Modules Galoisiens, Module filtrés et Anneaux de Barsotti-Tate. In: "Journées de Gèométrie Algébrique de Rennes"Astérisque65 (1979), 155-187. Zbl0429.14016MR563472
  5. [FO3] J.-M. Fontaine, Sur certaines types de représentations p-adiques du groupe de Galois d'un corps local; construction d'un anneau de Barsotti-Tate. Annals of Math.115 (1982), 529-577. Zbl0544.14016MR657238
  6. [FO4] J.-M. Fontaine, Formes Différentielles et Modules de Tate des Variétés Abéliennes sur les Corps Locaux. Invent. Math.65 (1982), 379-409. Zbl0502.14015MR643559
  7. [MA] I. Barsotti, Metodi Analitici per Varietà Abeliane in Caratteristica Positiva. Ann. Scuola Norm. Sup. Pisa, Cl. Sci.18 (1964) 1-25, 19 (1965) 277-330, 19 (1965) 481-512, 20 (1966) 101-137, 20 (1966) 331-365. Zbl0121.16104
  8. [MM] B. Mazur - W. Messing, Universal Extension and one Dimensional Crystalline Cohomology. LNM370Springer, Berlin, 1974. Zbl0301.14016MR374150
  9. [TA] J. Tate, p-Divisible Groups. In: Proc. Conf. on Local Fields, NUFFIC Summer School, Driebergen, Springer1967, 158-187. Zbl0157.27601MR231827
  10. [WR] M. Candilera - V. Cristante, Witt realization of p-adic Barsotti-Tate groups, in "Barsotti Symposium in Algebraic Geometry" pp. 65-123. Perspectives in Mathematics, 15, Academic Press, 1994. Zbl0838.14038MR1307393

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