Vectorial extensions of Jacobians

Robert F. Coleman

Annales de l'institut Fourier (1990)

  • Volume: 40, Issue: 4, page 769-783
  • ISSN: 0373-0956

Abstract

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

How to cite

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Coleman, Robert F.. "Vectorial extensions of Jacobians." Annales de l'institut Fourier 40.4 (1990): 769-783. <http://eudml.org/doc/74898>.

@article{Coleman1990,
abstract = {The universal vectorial extension of a curve is described in terms of the geometry of the curve.},
author = {Coleman, Robert F.},
journal = {Annales de l'institut Fourier},
keywords = {generalized jacobian of a curve; horizontal trivialization; universal vectorial extension},
language = {eng},
number = {4},
pages = {769-783},
publisher = {Association des Annales de l'Institut Fourier},
title = {Vectorial extensions of Jacobians},
url = {http://eudml.org/doc/74898},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Coleman, Robert F.
TI - Vectorial extensions of Jacobians
JO - Annales de l'institut Fourier
PY - 1990
PB - Association des Annales de l'Institut Fourier
VL - 40
IS - 4
SP - 769
EP - 783
AB - The universal vectorial extension of a curve is described in terms of the geometry of the curve.
LA - eng
KW - generalized jacobian of a curve; horizontal trivialization; universal vectorial extension
UR - http://eudml.org/doc/74898
ER -

References

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  1. [C1] R. COLEMAN, The Universal Vectorial Bi-extension and p-adic Heights, to appear in Inventiones. Zbl0763.14009
  2. [C2] R. COLEMAN, Duality for the de Rham Cohomology of Abelian Schemes, to appear. Zbl0926.14008
  3. [CG] R. COLEMAN, and B. GROSS, p-adic Heights on Curves, Advances in Math., 17 (1989), 73-81. Zbl0758.14009MR92d:11057
  4. [C-C] C. CONTOU-CARRÈRE, La jacobienne généralisée d'une courbe relative, C.R. Acad. Sci., Paris, t. 289 (279), 203-206. Zbl0447.14005MR81g:14021
  5. [G] A. GROTHENDIECK, Revêtement Étale et Groupe Fondamental (SGA I) SLN 224 (1971). Zbl0234.14002
  6. [MaMe] B. MAZUR and W. MESSING, Universal Extensions and One Dimensional Crystalline Cohomology, Springer Lecture Notes, 370, 1974. Zbl0301.14016MR51 #10350
  7. [MaT] B. MAZUR and J. TATE, Canonical Height Pairings via Bi-extensions, Arithmetic and Geometry, Vol. I, Birkhauser, (1983), 195-237. Zbl0574.14036MR85j:14081
  8. [O] H. ONSIPER, Rational Maps and Albanese Schemes, Thesis, University of California at Berkeley, (1984). 
  9. [S] J.-P. SERRE, Groupes Algébriques et Corps de Classes, Hermann, 1959. Zbl0097.35604MR21 #1973

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