The unirationality of Hurwitz spaces of 6-gonal curves of small genus

Details The unirationality of Hurwitz spaces of 6-gonal curves of small genus The unirationality of Hurwitz spaces of 6-gonal curves of small genus

2011-09-16

arxiv.org/abs/1109.3603v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

In this short note we prove the unirationality of Hurwitz spaces of 6-gonal
curves of genus $g$ with $5\leq g\leq 28$ or $g=30,31,33,35,36,40,45$. 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.

Affiliated with

Also associated with

No associations

Rating

The unirationality of Hurwitz spaces of 6-gonal curves of small genus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The unirationality of Hurwitz spaces of 6-gonal curves of small genus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The unirationality of Hurwitz spaces of 6-gonal curves of small genus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534915