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

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

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

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     author = {Coleman, Robert F.},
     title = {Vectorial extensions of {Jacobians}},
     journal = {Annales de l'Institut Fourier},
     pages = {769--783},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {40},
     number = {4},
     year = {1990},
     doi = {10.5802/aif.1234},
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     mrnumber = {92e:14042},
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     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1234/}
}
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1234/

[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. | Numdam | Zbl

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

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

[G] A. Grothendieck, Revêtement Étale et Groupe Fondamental (SGA I) SLN 224 (1971). | Zbl

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

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

[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. | MR | Zbl

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