Geodesic
The unirationality of Hurwitz spaces of 6-gonal curves of small genus
Documenta mathematica, Tome 17 (2012), pp. 627-640
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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 P1×P2. By semicontinuity, the proof of the dominance of this construction is reduced to a computation of a single curve over a finite field.
DOI : 10.4171/dm/378
Classification : 14H10, 14H51, 14M06, 14M20, 14Q05
Mots-clés : unirationality, Hurwitz space 
@article{10_4171_dm_378,
     author = {Florian Gei{\ss}},
     title = {The unirationality of {Hurwitz} spaces of 6-gonal curves of small genus},
     journal = {Documenta mathematica},
     pages = {627--640},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/378},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/378/}
}
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Florian Geiß. The unirationality of Hurwitz spaces of 6-gonal curves of small genus. Documenta mathematica, Tome 17 (2012), pp. 627-640. doi: 10.4171/dm/378

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