2017/03/17 by Bruns, Gregor
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1703.06213
We study the stability of the normal bundle of canonical genus 8 curves and prove that on a general curve the bundle is stable. The proof rests on Mukai's description of these curves as linear sections of a Grassmannian G(2,6). This is the next case of a conjecture by M. Aprodu, G. Farkas, and A. Ortega: the general canonical curve of every genus g ≥ 7 should have stable normal bundle. We also give some more evidence for this conjecture in higher genus.