On contravariant functors from the category of preschemes over a field into the category of abelian groups

Jaap P. Murre

Publications Mathématiques de l'IHÉS (1964)

  • Volume: 23, page 5-43
  • ISSN: 0073-8301

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Murre, Jaap P.. "On contravariant functors from the category of preschemes over a field into the category of abelian groups." Publications Mathématiques de l'IHÉS 23 (1964): 5-43. <http://eudml.org/doc/103849>.

@article{Murre1964,
author = {Murre, Jaap P.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {algebraic geometry},
language = {eng},
pages = {5-43},
publisher = {Institut des Hautes Études Scientifiques},
title = {On contravariant functors from the category of preschemes over a field into the category of abelian groups},
url = {http://eudml.org/doc/103849},
volume = {23},
year = {1964},
}

TY - JOUR
AU - Murre, Jaap P.
TI - On contravariant functors from the category of preschemes over a field into the category of abelian groups
JO - Publications Mathématiques de l'IHÉS
PY - 1964
PB - Institut des Hautes Études Scientifiques
VL - 23
SP - 5
EP - 43
LA - eng
KW - algebraic geometry
UR - http://eudml.org/doc/103849
ER -

References

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  1. [1] N. BOURBAKI, Algèbre commutative, chap. I-IV, Actualités Scientifiques et Industrielles, nos 1290, 1293. 
  2. [2] P. CARTIER, Groupes algébriques et groupes formels, Colloque sur la théorie des groupes algébriques, Bruxelles, 1962. Zbl0173.49001MR26 #6172
  3. [3] C. CHEVALLEY, Fondements de la géométrie algébrique, Paris, Secrétariat Mathématique, 1958. Zbl0087.35501MR21 #7202
  4. [4] C. CHEVALLEY, C. S. SESHADRI, Séminaire C. Chevalley, 1958-1959, Variétés de Picard. 
  5. [E.G.A.] A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique, chap. I, II, III, ..., Institut des Hautes Études Scientifiques, Publications Mathématiques, 4, 8, II... Zbl0203.23301
  6. [S.G.A.] A. GROTHENDIECK, Séminaire de géométrie algébrique, 1960-1961. Institut des Hautes Études Scientifiques, Paris. 
  7. [5] A. GROTHENDIECK, Technique de descente et théorèmes d'existence en géométrie algébrique I-VI, Séminaire Bourbaki, exp. 190, 195, 212, 221, 232, 236. Zbl0238.14014
  8. [6] A. GROTHENDIECK, Techniques de construction en géométrie analytique, I-X, Séminaire Cartan, t. 13, 1960-1961. 
  9. [7] F. OORT, Sur le schéma de Picard, Bull. Soc. Math. France, t. 90, 1962. Zbl0123.13901MR25 #2070
  10. [8] P. SAMUEL, Algèbre locale, Mémorial des Sciences Mathématiques, fasc. 123, Paris, 1953. Zbl0053.01901MR14,1012c
  11. [9] J.-P. SERRE, Groupes algébriques et corps de classes, Paris, 1959. Zbl0097.35604MR21 #1973

Citations in EuDML Documents

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  1. J. P. Murre, Representation of unramified functors. Applications
  2. Joseph Lipman, The Picard group of a scheme over an Artin ring
  3. Frans Oort, Finite group schemes, local moduli for abelian varieties, and lifting problems
  4. Imin Chen, Bart De Smit, Martin Grabitz, Relations between jacobians of modular curves of level p 2
  5. J.-E. Bertin, Variété de Picard de type linéaire commutatif
  6. Marco Fontana, Sur le plongement projectif des surfaces définies sur un corps de base fini
  7. Sivaramakrishna Anantharaman, Schémas en groupes, espaces homogènes et espaces algébriques sur une base de dimension 1
  8. Tadao Oda, The first de Rham cohomology group and Dieudonné modules

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