Skip to main content

p-Adic Betti lattices

  • Chapter
  • First Online:
p-adic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1454))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. André Y.; G-functions and Geometry, Aspects of Mathematics E13, Vieweg 1988.

    Google Scholar 

  2. Berkovich V.G.; Spectral theory and analytic geometry over non-archimedean fields II. Preprint IHES 1987.

    Google Scholar 

  3. Berthelot P.; Cohomologie rigide, to appear in the "Astérisque" series.

    Google Scholar 

  4. Borovoi, M.; On the action of the Galois group on rational cohomology classes of type (p.p) of Abelian varieties, Mat. Sbornik 94 (1974) no4, 649–652 (Russian).

    MathSciNet  Google Scholar 

  5. Bosch S., Lütkebohmert W.; stable reduction and Uniformization of Abelian varieties II, Inv. Math. 78, 257–297 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  6. Bosch S., Lütkebohmert W.; Degenerating Abelian Varieties, preprint Münster 1988.

    Google Scholar 

  7. Chai C.L., Faltings G.; Semiabelian degeneration and compactification of Siegel modular spaces. Forthcoming book (1990).

    Google Scholar 

  8. Christol G.; Globally bounded solutions of differential equations, to appear in Proc. of the Tokyo conference on analytic number theory.

    Google Scholar 

  9. Coleman R.; The universal vectorial bi-extension, preprint Berkeley 1989.

    Google Scholar 

  10. Colmez P.; Périodes des variétés abéliennes de type CM, preprint Bonn 1987.

    Google Scholar 

  11. [D1] Deligne P.; Théorie de Hodge III, IHES Publ. Math. No 44 (1974), 5–78.

    Google Scholar 

  12. Deligne P.; Hodge cycles on Abelian varieties, in Lecture Notes in Math. 900 Springer-Verlag 1982 (notes by J. Milne).

    Google Scholar 

  13. Dwork B.; p-adic cycles, IHES Publ. Math. No 37 (1969), 27–116.

    Google Scholar 

  14. Faltings G.; preprint Princeton on the "De Rham conjecture" 1989.

    Google Scholar 

  15. Fontaine J.M.; Sur certains types de représentations p-adiques du groupe de Galois d'un corps local, construction d'un anneau de Barsotti-Tate, Ann. of Math. 115, (1982), 529–577.

    Article  MathSciNet  MATH  Google Scholar 

  16. Fontaine J.M.; contribution to the proc. of IHES seminar 88 on "p-adic periods".

    Google Scholar 

  17. Fontaine J.M.; Messing W.; p-adic periods and p-adic etale cohomology, Contemporary mathematics, Vol. 67 AMS (1985), 179–207.

    Article  MathSciNet  MATH  Google Scholar 

  18. Gerritzen L.; On multiplication algebras of Riemann matrices, Math. Ann. 194 (1971), 109–122.

    Article  MathSciNet  MATH  Google Scholar 

  19. Grothendieck A.; On the De Rham cohomology of algebraic varieties, IHES Publ. Math. 29 (1966) (especially footnote 10).

    Google Scholar 

  20. Grothendieck A.; Modèles de Néron et monodromie, exp. IX, SGA 7, in Lecture Notes in Math. 288 Springer-Verlag 1970.

    Google Scholar 

  21. Grothendieck A.; Groupes de Barsotti-Tate et cristaux de Dieudonné, Séminaire de Mathématiques Supérieures, no 45, Presses de l'Université de Montréal 1974.

    Google Scholar 

  22. Harris J.; Functorial properties of toroidial compactifications of locally symmetric varieties. Proc. London Math. Soc. (3) 59 (1989), 1–22.

    Article  MATH  Google Scholar 

  23. Katz N.; Serre-Tate local moduli, in Surfaces Algébriques, exposé 5 bis, Springer LNM 868 (1981), 138–202.

    Google Scholar 

  24. Kiehl R.; Die De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper. IHES Publ. Math. 33 (1967), 5–20.

    Article  MathSciNet  MATH  Google Scholar 

  25. Le Stum B.; Cohomologie rigide et variétés abéliennes, thèse Univ. Rennes 1985.

    Google Scholar 

  26. Mumford D.; Families of Abelian varieties, Algebraic groups and Discontinuous subgroup, Proc. Symp. Pure Math. vol. 9, AMS, Providence R.I. (1966), 347–351.

    Article  MathSciNet  Google Scholar 

  27. Mustafin G.A.; Families of Algebraic varieties and invariant cycles, Math. USSR Izvestiya Vol 27 (1986) no 2, 251–278.

    Article  MATH  Google Scholar 

  28. Ogus A.; Contribution to this conference.

    Google Scholar 

  29. Raynaud M.; Variétés abéliennes et géométrie rigide. Actes du congrès international de Nice 1970, t.1, 473–477.

    Google Scholar 

  30. Raynaud M.; Contribution to the proc. of IHES seminar 88 on "p-adic periods".

    Google Scholar 

  31. Serre J.P.; Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Inv. Math., 15, 1972, 259–331.

    Article  Google Scholar 

  32. Serre J.P.; Abelian l-adic representations and elliptic curves. Benjamin, New-York, 1968.

    MATH  Google Scholar 

  33. Artin M., Grothendieck A., Verdier J.-L.; Théorie des topos et cohomologie étale des schémas, t. 3, LNM 269 Springer Verlag (1972).

    Google Scholar 

  34. Shimura G.; On analytic families of polarized abelian varieties and automorphic functions, Annals of Math. 78 (1963), 149.

    Article  MathSciNet  MATH  Google Scholar 

  35. Steenbrink J.; Limits of Hodge structures, Inv. Math. 31 (1975/76), 229–257.

    Article  MathSciNet  MATH  Google Scholar 

  36. Tate J.; p-divisible groups. Proc. of a Conf. on local fields. Springer Verlag (1967).

    Google Scholar 

  37. Ullrich P.; Rigid analytic covering maps. Proc. of the Conf. on p-adic analysis, Hengelhoef (1986), 159–171.

    Google Scholar 

  38. Van der Marel B.; thesis Rijksuniversiteit Groningen 1987.

    Google Scholar 

  39. Wintenberger J.P.; p-adic Hodge theory for families of abelian varieties, preprint 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Francesco Baldassarri Siegfried Bosch Bernard Dwork

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

André, Y. (1990). p-Adic Betti lattices. In: Baldassarri, F., Bosch, S., Dwork, B. (eds) p-adic Analysis. Lecture Notes in Mathematics, vol 1454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091133

Download citation

  • DOI: https://doi.org/10.1007/BFb0091133

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53477-8

  • Online ISBN: 978-3-540-46906-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics