Biextensions alternées

L. Breen

Compositio Mathematica (1987)

  • Volume: 63, Issue: 1, page 99-122
  • ISSN: 0010-437X

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Breen, L.. "Biextensions alternées." Compositio Mathematica 63.1 (1987): 99-122. <http://eudml.org/doc/89854>.

@article{Breen1987,
author = {Breen, L.},
journal = {Compositio Mathematica},
keywords = {antisymmetric biextensions; polarization for abelian varieties; alternating biextensions; cubic torsors},
language = {fre},
number = {1},
pages = {99-122},
publisher = {Martinus Nijhoff Publishers},
title = {Biextensions alternées},
url = {http://eudml.org/doc/89854},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Breen, L.
TI - Biextensions alternées
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 1
SP - 99
EP - 122
LA - fre
KW - antisymmetric biextensions; polarization for abelian varieties; alternating biextensions; cubic torsors
UR - http://eudml.org/doc/89854
ER -

References

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  1. 1 L. Breen: Fonctions thêta et théorème du cube. Lecture Notes in Mathematics980. Springer, Berlin, HeidelbergNew-York, Tokyo (1983). Zbl0558.14029MR823233
  2. 2 H. Cartan: Algèbres de Eilenberg-MacLane et homotopie. Séminaire Cartan 1954-55 (7ème année). Paris (1956). Zbl0067.15601
  3. 3 C.-L. Chai: Compactification of Siegel Moduli schemes, Thèse, Havard (1984). MR853543
  4. 4 P. Deligne: Exposé XVIII de "Séminaire de Géométrie Algébrique du Bois-Marie 1963-64" 
  5. (SGA 4) dirigé par M. Artin, A. Grothendieck, J.-L. Verdier.Théorie des topos et cohomologie étale des schémas, tome 3. Lecture Notes in Mathematics305. Springer, Berlin, Heidelberg, New-York (1973). Zbl0245.00002MR354654
  6. 5 P. Deligne: Théorie de Hodge III. Publ. Math. IHES44 (1975) 5-77. Zbl0237.14003MR498552
  7. 6 G. Decker: The integral homology algebra of an Eilenberg-MacLane space. Thèse de l'Université de Chicago, 1974, non publiée. 
  8. 7 J.R. Dennett: A functorial description of πnL2K(A, q). Thèse de M.I.T., Juin 1965, non publiée. 
  9. 8 A. Dold et D. Puppe: Homologie nicht-additiven functoren. Anwendungen. Ann. Inst. Fourier11 (1961) 201-312. Zbl0098.36005MR150183
  10. 9 S. Eilenberg et S. MacLane: On the groups H(Π, n) II. Ann. Math.70 (1954) 49-139. Zbl0055.41704
  11. 10 A. Grothendieck: Séminaire de Géométrie Algébrique du Bois-Marie, 1967-69 (SGA 7) I. Lecture Notes in Mathematics288. Springer, Berlin, Heidelberg, New-York (1972). Zbl0237.00013
  12. 11 R. Hamsher: Eilenberg-MacLane algebras and their computation. Thèse de l'Université de Chicago, 1974, non publiée. 
  13. 12 L. Illusie: Complexe cotangent et deformation I. Lecture Notes in Mathematics239. Springer, Berlin, Heidelberg, New-York (1971). Zbl0224.13014MR491680
  14. 13 D. Mumford: Biextensions of formal groups. Dans: Proceedings of the Bombay Colloqium on Algebraic Geometry, Tata Institute of Fundamental Research Studies in Mathematics4. Oxford University Press, London (1968). Zbl0216.33101
  15. 14 D. Mumford: Abelian Varieties. Oxford University Press (1970). Zbl0223.14022MR282985
  16. 15 D. Quillen: Notes on the homology of commutative rings, M.I.T. (1968). 
  17. 16 K. Ribet: Cohomological realisation of a family of 1-motives. J. Number Theory25 (1987) 152-161. Zbl0666.14001MR873873
  18. 17 J.-P. Serre: Cours d'Arithmétique, P.U.F. (1970). Zbl0225.12002

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