Abelian varieties over finite fields

William C. Waterhouse

Annales scientifiques de l'École Normale Supérieure (1969)

  • Volume: 2, Issue: 4, page 521-560
  • ISSN: 0012-9593

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Waterhouse, William C.. "Abelian varieties over finite fields." Annales scientifiques de l'École Normale Supérieure 2.4 (1969): 521-560. <http://eudml.org/doc/81852>.

@article{Waterhouse1969,
author = {Waterhouse, William C.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {algebraic geometry},
language = {eng},
number = {4},
pages = {521-560},
publisher = {Elsevier},
title = {Abelian varieties over finite fields},
url = {http://eudml.org/doc/81852},
volume = {2},
year = {1969},
}

TY - JOUR
AU - Waterhouse, William C.
TI - Abelian varieties over finite fields
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1969
PB - Elsevier
VL - 2
IS - 4
SP - 521
EP - 560
LA - eng
KW - algebraic geometry
UR - http://eudml.org/doc/81852
ER -

References

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  6. [6] M. DEURING, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper (Abh. Math. Sem. Hamburg, Bd. 14, 1941, p. 197-272). Zbl0025.02003MR3,104fJFM67.0107.01
  7. [7] M. EICHLER, Zur Zahlentheorie der Quaternionen-Algebren (J. Reine Angew. Math., Bd. 195, 1955, p. 127-151). Zbl0068.03303MR18,297c
  8. [8] T. HONDA, Isogeny classes of abelian varieties over finite fields (J. Math. Soc. Japan, vol. 20, 1968, p. 83-95). Zbl0203.53302MR37 #5216
  9. [9] Y. IHARA, Hecke polynomials as congruence ζ functions in elliptic modular case (Ann. of Math., (2), vol. 85, 1967, p. 267-295). Zbl0181.36501MR34 #7470
  10. [10] S. LANG, Abelian Varieties, Interscience, New York, 1959. Zbl0098.13201MR21 #4959
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  12. [12] T. ODA, The first de Rham cohomology group and Dieudonné modules (Ann. scient. Éc. Norm. Sup., (4), t. 2, 1969, p. 63-135). Zbl0175.47901MR39 #2775
  13. [13] F. OORT, Commutative Group Schemes (Lecture Notes in Math., 15, Springer, Berlin, 1966). Zbl0216.05603MR35 #4229
  14. [14] J.-P. SERRE, Algèbre et géométrie, Annuaire Coll. de France, Paris, 1965-1966, p. 45-49. 
  15. [15] J.-P. SERRE, Complex multiplication; in J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967. MR39 #5516
  16. [16] J.-P. SERRE, Groupes p-divisibles (d'après J. Tate), Sém. Bourbaki, 318, 1966-1967. Zbl0197.17201
  17. [17] G. SHIMURA and Y. TANIYAMA, Complex Multiplication of Abelian Varieties, Publ. Math. Soc. Japan, 6, Tokyo, 1961. Zbl0112.03502MR23 #A2419
  18. [18] J. TATE, Endomorphisms of abelian varieties over finite fields (Invent. Math., vol. 2, 1966, p. 134-144). Zbl0147.20303MR34 #5829
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Citations in EuDML Documents

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  1. J.F. Voloch, A note on elliptic curves over finite fields
  2. Sergey Rybakov, The groups of points on abelian varieties over finite fields
  3. Christian Friesen, Paul van Wamelen, Class numbers of real quadratic function fields
  4. Éric Férard, Poids des duaux des codes BCH de distance prescrite 2 a + 1 et sommes exponentielles
  5. Hans-Georg Rück, Abelian surfaces and jacobian varieties over finite fields
  6. François Morain, La primalité en temps polynomial
  7. Toshiyuki Katsura, Frans Oort, Families of supersingular abelian surfaces
  8. Andrew Baker, A supersingular congruence for modular forms
  9. Tomoyoshi Ibukiyama, Toshiyuki Katsura, Frans Oort, Supersingular curves of genus two and class numbers
  10. Harald Niederreiter, Chaoping Xing, Drinfeld modules of rank 1 and algebraic curves with many rational points. II

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