Supersingular K 3 surfaces

M. Artin

Annales scientifiques de l'École Normale Supérieure (1974)

  • Volume: 7, Issue: 4, page 543-567
  • ISSN: 0012-9593

How to cite

top

Artin, M.. "Supersingular $K3$ surfaces." Annales scientifiques de l'École Normale Supérieure 7.4 (1974): 543-567. <http://eudml.org/doc/81948>.

@article{Artin1974,
author = {Artin, M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {4},
pages = {543-567},
publisher = {Elsevier},
title = {Supersingular $K3$ surfaces},
url = {http://eudml.org/doc/81948},
volume = {7},
year = {1974},
}

TY - JOUR
AU - Artin, M.
TI - Supersingular $K3$ surfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1974
PB - Elsevier
VL - 7
IS - 4
SP - 543
EP - 567
LA - eng
UR - http://eudml.org/doc/81948
ER -

References

top
  1. [1] M. ARTIN, Algebraic approximation of structures over complete local rings (Pub. Math. Inst. Hautes Études Sci., vol. 36, 1969, p. 23-58). Zbl0181.48802MR42 #3087
  2. [2] M. ARTIN, Algebraic construction of Brieskorn's resolutions (J. Alg., vol. 29, 1974, p. 330-348). Zbl0292.14013MR50 #7143
  3. [3] M. ARTIN, A. GROTHENDIECK and J.-L. VERDIER, Théorie des topos et cohomologie des schémas, T. 3 (Lecture Notes in Mathematics, No. 305, Springer, Berlin, 1973). Zbl0245.00002MR50 #7132
  4. [4] M. ARTIN and B. MAZUR, Formal groups arising from algebraic varieties (to appear). Zbl0351.14023
  5. [5] M. ARTIN and H. P. F. SWINNERTON-DYER, The Shafarevich-Tate conjecture for pencils of elliptic curves on K 3 surfaces (Invent. Math., vol. 20, 1973, p. 249-266). Zbl0289.14003MR54 #5240
  6. [6] A. GROTHENDIECK, Éléments de géométrie algébrique III, (Pub. Math. Inst. Hautes Études Sci., vol. 11, 1961). Zbl0235.14007
  7. [7] A. GROTHENDIECK, Le groupe de Brauer (Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam, 1968). Zbl0192.57801
  8. [8] J.-I. IGUSA, Betti and Picard numbers of abstract algebraic surfaces (Proc. Nat. Acad. Sci., vol. 46, 1960, p. 724-726). Zbl0099.16402MR22 #9496
  9. [9] K. KODAIRA, On compact analytic surfaces II (Ann. of Math., vol. 77, 1963, p. 563-626). Zbl0118.15802
  10. [10] M. LAZARD, Sur les groupes de Lie formels à un paramètre (Bull. Soc. math. Fr., vol. 83, 1955, p. 251-274). Zbl0068.25703MR17,508e
  11. [11] F. OORTCommutative group schemes (Lecture Notes in Mathematics, No. 15, Springer, Berlin, 1966. Zbl0216.05603MR35 #4229
  12. [12] PIATETSKI-SHAPIRO and I. R. SHAFAREVICH, A Torelli theorem for algebraic surfaces of type K 3 (Izv. Akad. Nauk. S.S.S.R., vol. 35, 1971, and Math. U.R.S.S. (Izvestia, vol. 5, 1971, p. 547-588). Zbl0253.14006
  13. [13] M. RAYNAUD, Caractéristique d'Euler-Poincaré d'un faisceau et cohomologie des variétés abéliennes (Séminaire Bourbaki 1964-1965. Exposé, reprinted in Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam, 1968). Zbl0204.54301
  14. [14] J.-P. SERRE, Groupes pro-algébriques (Pub. Math. Inst. Hautes Études Sci., vol. 7, 1960). MR22 #9493
  15. [15] J.-P. SERRE, Cours d'arithmétique, Presses Universitaires de France, Paris, 1970. Zbl0225.12002MR41 #138
  16. [16] T. SHIODA, On elliptic modular surfaces (J. Math. Soc. Japan, vol. 24, 1972, p. 20-59). Zbl0226.14013MR55 #2927
  17. [17] T. SHIODA, On rational points of the generic elliptic curve with level N structure over the field of mudular functions of level N (J. Math. Soc. Japan, vol. 25, 1973, p. 144-157). Zbl0243.14009MR47 #5001
  18. [18] T. SHIODA, Algebraic cycles on certain K 3 surfaces in characteristic p (to appear). Zbl0311.14007
  19. [19] J. TATE, Algebraic cycles and poles of zeta functions (Arithmetic Algebraic Geometry, p. 93-110, Harper and Row, New York, 1965). Zbl0213.22804MR37 #1371
  20. [20] J. TATE, On the conjecture of Birch and Swinnerton-Dyer and a geometric analog (Séminaire Bourbaki, 1965/1966. Exposé 306, reprinted in Dix exposés sur la cohomologie des schémas, North Holland, Amsterdam, 1968). Zbl0199.55604

Citations in EuDML Documents

top
  1. Niels O. Nygaard, Slopes of powers of Frobenius on crystalline cohomology
  2. Matthias Schütt, Andreas Schweizer, On the uniqueness of elliptic K3 surfaces with maximal singular fibre
  3. Spencer Bloch, Algebraic K -theory and crystalline cohomology
  4. Niels O. Nygaard, Higher de Rham-Witt complexes of supersingular K3 surfaces
  5. J. S. Milne, Duality in the flat cohomology of a surface
  6. Florent Jouve, The geometry of the third moment of exponential sums
  7. Fedor Bogomolov, Yuri Zarhin, Ordinary reduction of K3 surfaces
  8. M. Artin, B. Mazur, Formal groups arising from algebraic varieties
  9. W. J. Gordon, Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
  10. Luc Illusie, Complexe de de Rham-Witt et cohomologie cristalline

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.