Etale -covers in characteristic
Compositio Mathematica (1984)
- Volume: 52, Issue: 1, page 31-45
- ISSN: 0010-437X
Access Full Article
topHow to cite
topCrew, Richard M.. "Etale $p$-covers in characteristic $p$." Compositio Mathematica 52.1 (1984): 31-45. <http://eudml.org/doc/89650>.
@article{Crew1984,
author = {Crew, Richard M.},
journal = {Compositio Mathematica},
keywords = {étale -covers; torsionless fundamental group; group acting on scheme; -ranks of smooth projective curves; characteristic ; Euler-Poincaré characteristic; singular Enriques surface},
language = {eng},
number = {1},
pages = {31-45},
publisher = {Martinus Nijhoff Publishers},
title = {Etale $p$-covers in characteristic $p$},
url = {http://eudml.org/doc/89650},
volume = {52},
year = {1984},
}
TY - JOUR
AU - Crew, Richard M.
TI - Etale $p$-covers in characteristic $p$
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 1
SP - 31
EP - 45
LA - eng
KW - étale -covers; torsionless fundamental group; group acting on scheme; -ranks of smooth projective curves; characteristic ; Euler-Poincaré characteristic; singular Enriques surface
UR - http://eudml.org/doc/89650
ER -
References
top- [1] M. Artin and D. Mumford: Some elementary examples of unirational varities which are not rational. Proc., London Math. Soc.25, pp. 75-95. Zbl0244.14017MR321934
- [2] P. Berthelot: Cohomologie cristalline des Schemas de caracteristique p > 0. Lecture Notes in Math. #407, Springer1974. Zbl0298.14012MR384804
- [3] P. Berthelot and A. Ogus: Notes on crystalline cohomology. Mathematical Notes #21, Princeton University Press, 1978. Zbl0383.14010MR491705
- [4] E. Bombieri and D. Mumford: Enriques classification of surfaces in char. p. III. Inv. Math.35 (1976) 197-232. Zbl0336.14010MR491720
- [5] P. Blass: Unirationality of Enriques surfaces in characteristic two, (to appear). Zbl0549.14019
- [6] L. Illusie: Complexe de De Rham-Witt et cohomologie cristalline. Ann. Scient. Ec. Norm. Sup. 4e serie t. 12 (1979) 501-661. Zbl0436.14007MR565469
- [7] T. Katsura: Surfaces unirationelles en caracteristique p. C.R. Acad. Sc. Paris, t. 288 series A (1979) 45-47. Zbl0429.14011MR522017
- [8] N. Katz: Travaux de Dwork. In: Sem Bourbaki, exp. 409. Lecture Notes in Math. #317, Springer1973. Zbl0259.14007MR498577
- [9] N. Nygaard: On the fundamental group of a unirational 3-fold. Inv. Math.44 (1978) 75-86. Zbl0427.14014MR491731
- [10] J.-P. Serre: On the fundamental group of a unirational variety. J. London Math. Soc.1(14) (1959) 481-484. Zbl0097.36301MR109155
- [11] J.-P. Serre: Representations Lineaires des Groupes Finis, 2nd edn., Paris, Hermann1971. Zbl0223.20003MR352231
- [12] I. Shafarevich: On p-extensions. Mat. Sbornik20 (1947) 351-363 (AMS Translations Ser. 2 vol. 4, 1956). Zbl0041.17101MR20546
- [13] S. Shatz: Profinite groups, arithmetic, and geometry. Ann. Math. Studies #67, Princeton University Press1972. Zbl0236.12002MR347778
- [14] T. Shioda: An example of unirational surfaces in characteristic p. Math. Ann.211 (1974) 233-236. Zbl0276.14018MR374149
- [SGA1] A. Grothendieck: Revêtements etales et groupe fondamental. Lecture Notes in Math224, Springer-Verlag1971. Zbl0234.14002MR354651
- [SGA4] M. Artin, A. Grothendieck and J.-L. Verdier: Théorie des topos et cohomologie etale des schémas. Lecture Notes in Math. 269, 270, 305, Springer-Verlag1972 -1973. Zbl0245.00002
- [SGA41/2] P. Deligne: Cohomologie etale. Lecture Notes in Math. 569, Springer-Verlag1977. Zbl0345.00010MR463174
- [SGA5] A. Grothendieck: Cohomologie l-adique et fonctions L. Lecture Notes in Math. 589, Springer-Verlag1977. Zbl0345.00011MR463174
- [SGA6] P. Berthelot, A. Grothendieck and L. Illusie: Théorie des intersections et théorème de Riemann-Roch. Lecture Notes in Math. 225, Springer-Verlag1971. Zbl0218.14001MR354655
- [SGA7] A. Grothendieck, M. Raynaud, D. Rim, P. Deligne and N. Katz: Groupes de Monodromie en Géométrie Algébrique. Lecture Notes in Math. 288-340, Springer-Verlag1972-1973.
Citations in EuDML Documents
top- Hanfeng Li, Hui June Zhu, Zeta functions of totally ramified p-covers of the projective line
- Bin Zhang, Revêtements étales abéliens de courbes génériques et ordinarité
- Rachel Pries, Hui June Zhu, The -rank stratification of Artin-Schreier curves
- Antoine Chambert-loir, Points rationnels et groupes fondamentaux : applications de la cohomologie -adique
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.