no. 4
Vectorial extensions of Jacobians
Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 769-783

The universal vectorial extension of a curve is described in terms of the geometry of the curve.

L’extension universelle vectorielle d’une courbe est décrite en termes de la géométrie de la courbe.

Coleman, Robert F. Vectorial extensions of Jacobians. Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 769-783. doi: 10.5802/aif.1234
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[C1] R. Coleman, The Universal Vectorial Bi-extension and p-adic Heights, to appear in Inventiones. | Zbl

[C2] R. Coleman, Duality for the de Rham Cohomology of Abelian Schemes, to appear. | Zbl | Numdam

[CG] R. Coleman, and B. Gross, p-adic Heights on Curves, Advances in Math., 17 (1989), 73-81. | Zbl | MR

[C-C] C. Contou-Carrère, La jacobienne généralisée d'une courbe relative, C.R. Acad. Sci., Paris, t. 289 (279), 203-206. | Zbl | MR

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[MaMe] B. Mazur and W. Messing, Universal Extensions and One Dimensional Crystalline Cohomology, Springer Lecture Notes, 370, 1974. | Zbl | MR

[MaT] B. Mazur and J. Tate, Canonical Height Pairings via Bi-extensions, Arithmetic and Geometry, Vol. I, Birkhauser, (1983), 195-237. | Zbl | MR

[O] H. Onsiper, Rational Maps and Albanese Schemes, Thesis, University of California at Berkeley, (1984).

[S] J.-P. Serre, Groupes Algébriques et Corps de Classes, Hermann, 1959. | Zbl | MR

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