Geodesic
The Oort Conjecture on lifting covers of curves
Florian Pop1
1 Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395
Annals of mathematics, Tome 180 (2014) no. 1, pp. 285-322.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that the conjecture of Oort on lifting covers of curves is true. The main ingredients in the proof are a deformation argument in characteristic $p$ and (a special case of) a very recent result by Obus–Wewers. A kind of boundedness result is given as well.
DOI : 10.4007/annals.2014.180.1.6

Florian Pop 1

1 Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395 
@article{10_4007_annals_2014_180_1_6,
     author = {Florian Pop},
     title = {The {Oort} {Conjecture} on  lifting covers of curves},
     journal = {Annals of mathematics},
     pages = {285--322},
     publisher = {mathdoc},
     volume = {180},
     number = {1},
     year = {2014},
     doi = {10.4007/annals.2014.180.1.6},
     mrnumber = {3194816},
     zbl = {06316071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.6/}
}
TY  - JOUR
AU  - Florian Pop
TI  - The Oort Conjecture on  lifting covers of curves
JO  - Annals of mathematics
PY  - 2014
SP  - 285
EP  - 322
VL  - 180
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.6/
DO  - 10.4007/annals.2014.180.1.6
LA  - en
ID  - 10_4007_annals_2014_180_1_6
ER  - 
%0 Journal Article
%A Florian Pop
%T The Oort Conjecture on  lifting covers of curves
%J Annals of mathematics
%D 2014
%P 285-322
%V 180
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.6/
%R 10.4007/annals.2014.180.1.6
%G en
%F 10_4007_annals_2014_180_1_6
Florian Pop. The Oort Conjecture on  lifting covers of curves. Annals of mathematics, Tome 180 (2014) no. 1, pp. 285-322. doi : 10.4007/annals.2014.180.1.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.6/

Cité par Sources :