Geodesic
Extending self-maps to projective space over finite fields
Documenta mathematica, Tome 18 (2013), pp. 1039-1044

Voir la notice de l'article provenant de la source EMS Press

Using the closed point sieve, we extend to finite fields the following theorem proved by A. Bhatnagar and L. Szpiro over infinite fields: if X is a closed subscheme of Pn over a field, and φ:X→X satisfies φ∗OX​(1)≃OX​(d) for some d≥2, then there exists r≥1 such that φr extends to a morphism Pn→Pn.
DOI : 10.4171/dm/420
Classification : 37P25, 37P55
Mots-clés : self-map, closed point sieve 
Bjorn Poonen. Extending self-maps to projective space over finite fields. Documenta mathematica, Tome 18 (2013), pp. 1039-1044. doi: 10.4171/dm/420
@article{10_4171_dm_420,
     author = {Bjorn Poonen},
     title = {Extending self-maps to projective space over finite fields},
     journal = {Documenta mathematica},
     pages = {1039--1044},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/420},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/420/}
}
TY  - JOUR
AU  - Bjorn Poonen
TI  - Extending self-maps to projective space over finite fields
JO  - Documenta mathematica
PY  - 2013
SP  - 1039
EP  - 1044
VL  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/420/
DO  - 10.4171/dm/420
ID  - 10_4171_dm_420
ER  - 
%0 Journal Article
%A Bjorn Poonen
%T Extending self-maps to projective space over finite fields
%J Documenta mathematica
%D 2013
%P 1039-1044
%V 18
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/420/
%R 10.4171/dm/420
%F 10_4171_dm_420

Cité par Sources :