On kth-order embeddings of K3 surfaces and Enriques surfaces

Details On kth-order embeddings of K3 surfaces and Enriques surfaces On kth-order embeddings of K3 surfaces and Enriques surfaces

2000-08-22

arxiv.org/abs/math/0008169v2

Mathematics

Algebraic Geometry

23 pages, 0 figures, slightly improved version (Section 4), added references, to appear in Manuscr. Math

Scientific paper

We give necessary and sufficient conditions for a big and nef line bundle L of any degree on a K3 surface or Enriques surface to be k-very ample and k-spanned. Furthermore, we give necessary and sufficient conditions for a spanned and big line bundle on a K3 surface to be birationally k-very ample and birationally k-spanned, and relate these concepts to the Clifford index and gonality of smooth curves in |L|.

Affiliated with

Also associated with

No associations

Rating

On kth-order embeddings of K3 surfaces and Enriques surfaces 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 On kth-order embeddings of K3 surfaces and Enriques surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On kth-order embeddings of K3 surfaces and Enriques surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134225