Supersingular surfaces
Annales scientifiques de l'École Normale Supérieure (1974)
- Volume: 7, Issue: 4, page 543-567
- ISSN: 0012-9593
Access Full Article
topHow to cite
topArtin, 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] 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] M. ARTIN, Algebraic construction of Brieskorn's resolutions (J. Alg., vol. 29, 1974, p. 330-348). Zbl0292.14013MR50 #7143
- [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] M. ARTIN and B. MAZUR, Formal groups arising from algebraic varieties (to appear). Zbl0351.14023
- [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] A. GROTHENDIECK, Éléments de géométrie algébrique III, (Pub. Math. Inst. Hautes Études Sci., vol. 11, 1961). Zbl0235.14007
- [7] A. GROTHENDIECK, Le groupe de Brauer (Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam, 1968). Zbl0192.57801
- [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] K. KODAIRA, On compact analytic surfaces II (Ann. of Math., vol. 77, 1963, p. 563-626). Zbl0118.15802
- [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] F. OORTCommutative group schemes (Lecture Notes in Mathematics, No. 15, Springer, Berlin, 1966. Zbl0216.05603MR35 #4229
- [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] 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] J.-P. SERRE, Groupes pro-algébriques (Pub. Math. Inst. Hautes Études Sci., vol. 7, 1960). MR22 #9493
- [15] J.-P. SERRE, Cours d'arithmétique, Presses Universitaires de France, Paris, 1970. Zbl0225.12002MR41 #138
- [16] T. SHIODA, On elliptic modular surfaces (J. Math. Soc. Japan, vol. 24, 1972, p. 20-59). Zbl0226.14013MR55 #2927
- [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] T. SHIODA, Algebraic cycles on certain K 3 surfaces in characteristic p (to appear). Zbl0311.14007
- [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] 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- Niels O. Nygaard, Slopes of powers of Frobenius on crystalline cohomology
- Matthias Schütt, Andreas Schweizer, On the uniqueness of elliptic K3 surfaces with maximal singular fibre
- Spencer Bloch, Algebraic -theory and crystalline cohomology
- Niels O. Nygaard, Higher de Rham-Witt complexes of supersingular K3 surfaces
- J. S. Milne, Duality in the flat cohomology of a surface
- Florent Jouve, The geometry of the third moment of exponential sums
- Fedor Bogomolov, Yuri Zarhin, Ordinary reduction of K3 surfaces
- M. Artin, B. Mazur, Formal groups arising from algebraic varieties
- W. J. Gordon, Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
- Luc Illusie, Complexe de de Rham-Witt et cohomologie cristalline
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.