Green's canonical syzygy conjecture for generic curves of odd genus

Details Green's canonical syzygy conjecture for generic curves of odd genus Green's canonical syzygy conjecture for generic curves of odd genus

2003-01-30

arxiv.org/abs/math/0301359v4

Mathematics

Algebraic Geometry

Final version to appear in Compositio Mathematica

Scientific paper

We prove the Green conjecture for generic curves of odd genus. That is we prove the vanishing $K_{k,1}(X,K_X)=0$ for $X$ generic of genus $2k+1$. The curves we consider are smooth curves $X$ on a K3 surface whose Picard group has rank 2. This completes our previous work, where the Green conjecture for generic curves of genus $g$ with fixed gonality $d$ was proved in the range $d\geq g/3$, with the possible exception of the generic curves of odd genus.

Affiliated with

Also associated with

No associations

Rating

Green's canonical syzygy conjecture for generic curves of odd 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 Green's canonical syzygy conjecture for generic curves of odd genus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Green's canonical syzygy conjecture for generic curves of odd genus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335948