Finite Hilbert stability of canonical curves, II. The even-genus case

Details Finite Hilbert stability of canonical curves, II. The even-genus case Finite Hilbert stability of canonical curves, II. The even-genus case

2011-10-27

arxiv.org/abs/1110.5960v1

Mathematics

Algebraic Geometry

Scientific paper

This paper is a sequel to arXiv:1109.4986, where we proved that a general smooth curve of odd genus, canonically or bicanonically embedded, has semistable finite Hilbert points. Here, we prove that a generic canonically embedded curve of even genus has semistable finite Hilbert points. More precisely, we prove that a generic canonically embedded trigonal curve of even genus has semistable finite Hilbert points. Furthermore, we show that the analogous result fails for bielliptic curves. Namely, the Hilbert points of bielliptic curves are asymptotically semistable but become non-semistable below a definite threshold value depending on genus.

Affiliated with

Also associated with

No associations

Rating

Finite Hilbert stability of canonical curves, II. The even-genus case 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 Finite Hilbert stability of canonical curves, II. The even-genus case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Hilbert stability of canonical curves, II. The even-genus case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375218