The first de Rham cohomology group and Dieudonné modules

 Access to full text

 Full (PDF)

1. [1] M. ARTIN, Grothendieck topologies, Seminar notes at Harvard University, 1962. Zbl0208.48701
2. [2] I. BARSOTTI, Moduli canonici e gruppi analitici commutativi (Ann. Scuola Norm. Sup. Pisa, vol. 13, 1959, p. 303-372). Zbl0092.27203MR22 #4718
3. [3] I. BARSOTTI, Metodi analitici per varieta abeliane in caratteristica positiva (Chap. I and II, Ibid., vol. 18, 1964, p. 1-25 ; Chap. III, IV and V, Ibid., vol. 19, 1965, p. 277-330 and 481-512 ; Chap. VI and VII, Ibid., vol. 20, 1966, p. 101-137 and 331-365). Zbl0168.18601
4. [4] I. BARSOTTI, Analytical methods for abelian varieties in positive characteristic, Coll. Théorie Groupes algébriques, C. B. R. M., Bruxelles, 1962, p. 77-85. Zbl0163.15301MR27 #5761
5. [5] H. CARTAN and S. EILENBERG, Homological algebra, Princeton Math. Ser., 19. Zbl0075.24305
6. [6] P. CARTIER, Une nouvelle opération sur les formes différentielles (C. R. Acad. Sc., t. 244, 1957, p. 426-428). Zbl0077.04502MR18,870b
7. [7] P. CARTIER, Groupes algébriques et groupes formels, Coll. Théorie Groupes algébriques, C. B. R. M., Bruxelles, 1962, p. 87-111. Zbl0173.49001MR26 #6172
8. [8] P. CARTIER, Isogenies and duality of abelian varieties (Ann. Math., vol. 71, 1960, p. 315-351). Zbl0100.16901MR22 #6814
9. [9] C. CHEVALLEY, Sur la théorie de la variété de Picard (Amer. J. Math., vol. 82, 1960, p. 435-490). Zbl0127.37701MR22 #9494
10. [10] M. DEURING, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper (Abh. Math. Sem. Univ. Hamburg., vol. 47, 1942, p. 643-654). Zbl0026.20001MR7,362cJFM68.0061.01
11. [11] J. DIEUDONNÉ, On the Artin-Hasse exponential series (Proc. Amer. Math. Soc., vol. 8, 1957, p. 210-214). Zbl0079.05902MR19,290f
12. [12] P. GABRIEL, S. G. A. D., 1963-1964, exposés 7 A et 7 B. 
13. [13] P. GABRIEL, Sur les catégories abéliennes localement noethériennes et leurs applications aux algèbres étudiées par Dieudonné, Séminaire Serre, Paris, 1960. 
14. [14] R. GODEMENT, Topologie algébrique et théorie des faisceaux, Paris, Hermann, 1958. Zbl0080.16201MR21 #1583
15. [15] A. GROTHENDIECK, On the de Rham cohomology of algebraic varieties, Publ. Math. I. H. E. S., No. 29, 1966. Zbl0145.17602MR33 #7343
16. [16] A. GROTHENDIECK, (FGA) Fondements de la géométrie algébrique, Séminaire Bourbaki, 1957-1962. Zbl0239.14002
17. [17] A. GROTHENDIECK, (SGA) Séminaire de géométrie algébrique, I. H. E. S., 1960-1961. 
18. [18] A. GROTHENDIECK, Local cohomology (note by R. HARTSHORNE), Seminar notes at Harvard University, 1961 ; Springer-Verlag lectures notes, No. 41, 1967. Zbl0185.49202
19. [19] A. GROTHENDIECK et J. DIEUDONNÉ, (EGA) Éléments de géométrie algébrique, Publ. Math. I. H. E. S. Zbl0203.23301
20. [20] J. I. IGUSA, A fundamental inequality in the theory of Picard varieties (Proc. Nat. Acad. U. S. A., vol. 41, 1955, p. 317-320). Zbl0067.39201MR17,87c
21. [21] J. I. IGUSA, On some problems in abstract algebraic geometry (Proc. Nat. Acad. U. S. A., vol. 41, 1955, p. 961-967). Zbl0067.39102MR17,534a
22. [22] S. LANG, Abelian varieties, Interscience Tracts 7, New York, 1959. Zbl0098.13201MR21 #4959
23. [23] S. LANG et J.-P. SERRE, Sur les revêtements non ramifiés des variétés algébriques (Amer. J. Math., vol. 79, 1957, p. 319-330). Zbl0089.26401MR19,320c
24. [24] YU. I. MANIN, The theory of commutative formal groups over fields of finite characteristic (Usp. Math. Nauk, vol. 18, 1963, p. 3-90 ; English translation : Russian Math. Surv., vol. 18, 1963, p. 1-83). Zbl0128.15603
25. [25] H. MATSUMURA and M. MIYANISHI, On some dualities concerning abelian varieties (Nagoya Math. J., vol. 27, 1966, p. 447-462). Zbl0148.41403MR34 #5835
26. [26] D. MUMFORD, On the equations defining abelian varieties I (Invent. Math., vol. 1, 1966, p. 287-354). Zbl0219.14024MR34 #4269
27. [27] D. MUMFORD, Geometric invariant theory, Ergebnisse Math., Springer Verlag, 1965. Zbl0147.39304MR35 #5451
28. [28] D. MUMFORD, Pathologies of modular algebraic surfaces (Amer. J. Math., vol. 83, 1961, p. 339-342). Zbl0138.42002MR23 #A1642
29. [29] D. MUMFORD, Lecture on curves on an algebraic surface (Amer. Math. Study, vol. 59, 1966). Zbl0187.42701MR35 #187
30. [30] J. F. MURRE, On contravariant functors from the category of preschemes over a field into the category of abelian groups, Publ. Math. I. H. E. S., 23, 1964. Zbl0142.18402
31. [31] F. OORT, Commutative group schemes, Lecture note in Math., 15, Springer, 1966. Zbl0216.05603MR35 #4229
32. [32] J.-P. SERRE, Groupes algébriques et corps de classes, Hermann, Paris, 1959. Zbl0097.35604MR21 #1973
33. [33] J.-P. SERRE, Sur la topologie des variétés algébriques en caractéristique p, Symposium of Topology, Mexico, 1956. Zbl0098.13103
34. [34] J.-P. SERRE, Quelques propriétés des variétés abéliennes en caractéristique p (Amer. J. Math., vol. 80, 1958, p. 715-739). Zbl0099.16201MR20 #4562
35. [35] J.-P. SERRE, Groupes p-divisibles (d'après Tate), Séminaire Bourbaki, exposé 318, 1966-1967. Zbl0197.17201
36. [36] C. S. SESHADRI, L'opération de Cartier. Applications, Séminaire C. Chevalley, Variétés de Picard, exposé 6, 1958-1959. Zbl0121.38001
37. [37] P. K. SHARMA, Structure theory of commutative affine groups, Séminaire Heidelberg-Strasbourg, Groupes algébriques linéaires, exposé 11, 1965-1966. 
38. [38] J. TATE, p-divisible groups, Proceedings of a conference on local fields, Nuffic Summer School at Driebergen, Springer-Verlag, 1967, p. 159-183. Zbl0157.27601MR38 #155
39. [39] J. TATE, Endomorphisms of abelian varieties over finite fields (Invent. Math., vol. 2, 1966, p. 134-144). Zbl0147.20303MR34 #5829
40. [40] A. WEIL, Variétés abéliennes et courbes algébriques, Hermann, Paris, 1948. Zbl0037.16202MR10,621d
41. [41] P. CARTIER, Groupes formels associés aux anneaux de Witt généralisés (C. R. Acad. Sc., t. 265, série A, 1967, p. 49-52). Zbl0168.27501MR36 #1448
42. [42] J. S. MILNE, The conjecture of Birch and Swinnerton-Dyer for constant abelian varieties over function fields, Doctoral Dissertation, Harvard University, 1967. 
43. [43] M. MIYANISHI, On the pro-representability of a functor on the category of finite group schemes (J. Math. Kyoto Univ., vol. 6, 1966, p. 31-48). Zbl0168.41901MR35 #6699

1. Hans-Georg Rück, Abelian surfaces and jacobian varieties over finite fields
2. V. Cristante, Theta functions and Barsotti-Tate groups
3. William E. Lang, Two theorems on de Rham cohomology
4. William E. Lang, Examples of liftings of surfaces and a problem in de Rham cohomology
5. Niels O. Nygaard, Closedness of regular $1$-forms on algebraic surfaces
6. Nicholas M. Katz, Nilpotent connections and the monodromy theorem : applications of a result of Turrittin
7. William C. Waterhouse, Abelian varieties over finite fields
8. William E. Lang, Quasi-elliptic surfaces in characteristic three
9. Neal Koblitz, $p$-adic variation of the zeta-function over families of varieties defined over finite fields
10. Everett W. Howe, Enric Nart, Christophe Ritzenthaler, Jacobians in isogeny classes of abelian surfaces over finite fields