A sharp vanishing theorem for line bundles on K3 or Enriques surfaces

Details A sharp vanishing theorem for line bundles on K3 or Enriques surfaces A sharp vanishing theorem for line bundles on K3 or Enriques surfaces

2006-10-02

arxiv.org/abs/math/0610068v2

Mathematics

Algebraic Geometry

4 pages, latex. Minor corrections. To appear on Proc. Amer. Math. Soc

Scientific paper

Let $L$ be a line bundle on a K3 or Enriques surface. We give a vanishing
theorem for $H^1(L)$ that, unlike most vanishing theorems, gives necessary and
sufficient geometrical conditions for the vanishing. This result is essential
in our study of Brill-Noether theory of curves on Enriques surfaces (reference
[KL1]) and of Enriques-Fano threefolds (reference [KLM]).

Affiliated with

Also associated with

No associations

Rating

A sharp vanishing theorem for line bundles on K3 or 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 A sharp vanishing theorem for line bundles on K3 or Enriques surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A sharp vanishing theorem for line bundles on K3 or Enriques surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176342