Geodesic
Non-singular points on hypersurfaces over $\mathbb F_q$
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 55-62

Voir la notice de l'article provenant de la source Math-Net.Ru

In this survey article we investigate hypersurfaces defined over finite fields. More specifically we determine for which hypersurfaces one can ensure the existence of a non-singular point taking the cardinality of our ambient field large if need be. Additionally for such hypersurfaces we will find a lower bound on the cardinality for which a non-singular point is guaranteed. Bibl. 11 titles. 
@article{ZNSL_2010_377_a8,
     author = {J. Zahid},
     title = {Non-singular points on hypersurfaces over $\mathbb F_q$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {55--62},
     publisher = {mathdoc},
     volume = {377},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/}
}
TY  - JOUR
AU  - J. Zahid
TI  - Non-singular points on hypersurfaces over $\mathbb F_q$
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2010
SP  - 55
EP  - 62
VL  - 377
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/
LA  - en
ID  - ZNSL_2010_377_a8
ER  - 
%0 Journal Article
%A J. Zahid
%T Non-singular points on hypersurfaces over $\mathbb F_q$
%J Zapiski Nauchnykh Seminarov POMI
%D 2010
%P 55-62
%V 377
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/
%G en
%F ZNSL_2010_377_a8
J. Zahid. Non-singular points on hypersurfaces over $\mathbb F_q$. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 55-62. http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a8/