Geodesic
The unirationality of Hurwitz spaces of 6-gonal curves of small genus
Documenta mathematica, Tome 17 (2012), pp. 627-640.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this short note we prove the unirationality of Hurwitz spaces of 6-gonal curves of genus $g$ with $5= g= 28$ or $g=30,31,35,36,40,45$. Key ingredient is a liaison construction in $\PP^1 \times \PP^2$. By semicontinuity, the proof of the dominance of this construction is reduced to a computation of a single curve over a finite field.
Classification : 14H10, 14M20, 14M06, 14H51, 14Q05
Keywords: unirationality, Hurwitz space 
@article{DOCMA_2012__17__a10,
     author = {Gei{\ss}, Florian},
     title = {The unirationality of {Hurwitz} spaces of 6-gonal curves of small genus},
     journal = {Documenta mathematica},
     pages = {627--640},
     publisher = {mathdoc},
     volume = {17},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a10/}
}
TY  - JOUR
AU  - Geiß, Florian
TI  - The unirationality of Hurwitz spaces of 6-gonal curves of small genus
JO  - Documenta mathematica
PY  - 2012
SP  - 627
EP  - 640
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a10/
LA  - en
ID  - DOCMA_2012__17__a10
ER  - 
%0 Journal Article
%A Geiß, Florian
%T The unirationality of Hurwitz spaces of 6-gonal curves of small genus
%J Documenta mathematica
%D 2012
%P 627-640
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a10/
%G en
%F DOCMA_2012__17__a10
Geiß, Florian. The unirationality of Hurwitz spaces of 6-gonal curves of small genus. Documenta mathematica, Tome 17 (2012), pp. 627-640. http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a10/