Traverso’s Isogeny Conjecture for p -Divisible Groups

Marc-Hubert Nicole; Adrian Vasiu

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 118, page 73-83
  • ISSN: 0041-8994

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Nicole, Marc-Hubert, and Vasiu, Adrian. "Traverso’s Isogeny Conjecture for $p$-Divisible Groups." Rendiconti del Seminario Matematico della Università di Padova 118 (2007): 73-83. <http://eudml.org/doc/108730>.

@article{Nicole2007,
author = {Nicole, Marc-Hubert, Vasiu, Adrian},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {73-83},
publisher = {Seminario Matematico of the University of Padua},
title = {Traverso’s Isogeny Conjecture for $p$-Divisible Groups},
url = {http://eudml.org/doc/108730},
volume = {118},
year = {2007},
}

TY - JOUR
AU - Nicole, Marc-Hubert
AU - Vasiu, Adrian
TI - Traverso’s Isogeny Conjecture for $p$-Divisible Groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 118
SP - 73
EP - 83
LA - eng
UR - http://eudml.org/doc/108730
ER -

References

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  1. [dJ] J. DE JONG, Crystalline Dieudonné module theory via formal and rigid geometry, Inst. Hautes Études Sci. Publ. Math., Vol. 82 (1995), pp. 5-96. Zbl0864.14009MR1383213
  2. [dJO] J. DE JONG - F. OORT, Purity of the stratification by Newton polygons, J. of Amer. Math. Soc., 13, no. 1 (2000), pp. 209-241. Zbl0954.14007MR1703336
  3. [De] M. DEMAZURE, Lectures on p-divisible groups, Lecture Notes in Math., Vol. 302, Springer-Verlag, 1972. Zbl0247.14010MR344261
  4. [Di] J. DIEUDONNÉ, Groupes de Lie et hyperalgèbres de Lie sur un corps de caractérisque p &gt; 0 (VII), Math. Annalen, 134 (1957), pp. 114-133. Zbl0086.02605MR98146
  5. [Il] L. ILLUSIE, Déformations des groupes de Barsotti-Tate (d'après A. Grothendieck), Seminar on arithmetic bundles: the Mordell conjecture (Paris, 1983/84), pp. 151-198, J. Astérisque, 127, Soc. Math. de France, Paris, 1985. MR801922
  6. [Ma] Y. I. MANIN, The theory of formal commutative groups in finite characteristic, Russian Math. Surv., 18, no. 6 (1963), pp. 1-83. Zbl0128.15603
  7. [NV] M.-H. NICOLE - A. VASIU, Minimal truncations of supersingular p-divisible groups, manuscript, June 2006 (see math.NT/0606777). MR2375706
  8. [Oo1] F. OORT, Newton polygons and formal groups: conjectures by Manin and Grothendieck, Ann. of Math. (2) 152, no. 1 (2000), pp. 183-206. Zbl0991.14016MR1792294
  9. [Oo2] F. OORT, Newton polygon strata in the moduli of abelian varieties, Moduli of abelian varieties (Texel Island, 1999), pp. 417-440, Progr. Math., 195, Birkhäuser, Basel, 2001. Zbl1086.14037MR1827028
  10. [Oo3] F. OORT, Foliations in moduli spaces of abelian varieties, J. of Amer. Math. Soc., 17, no. 2 (2004), pp. 267-296. Zbl1041.14018MR2051612
  11. [Oo4] F. OORT, Minimal p-divisible groups, Ann. of Math. (2) 161, no. 2 (2005), pp. 1021-1036. Zbl1081.14065MR2153405
  12. [Tr1] C. TRAVERSO, Sulla classificazione dei gruppi analitici di caratteristica positiva, Ann. Scuola Norm. Sup. Pisa, 23, no. 3 (1969), pp. 481-507. Zbl0214.48301MR260757
  13. [Tr2] C. TRAVERSO, p-divisible groups over fields, Symposia Mathematica XI (Convegno di Algebra Commutativa, INDAM, Rome, 1971), pp. 45-65, Academic Press, London, 1973. Zbl0293.14011MR344262
  14. [Tr3] C. TRAVERSO, Specializations of Barsotti-Tate groups, Symposia Mathematica XXIV (Sympos., INDAM, Rome, 1979), pp. 1-21, Acad. Press, London-New York, 1981. Zbl0466.14016MR619238
  15. [Va1] A. VASIU, Crystalline Boundedness Principle, Ann. Sci. École Norm. Sup., 39, no. 2 (2006), pp. 245-300. Zbl1143.14037MR2245533
  16. [Va2] A. VASIU, Reconstructing p-divisible groups from their truncations of small level, manuscript, April 2006 (see math.NT/0607268). 

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