Existence of coherent systems

Details Existence of coherent systems Existence of coherent systems

2006-06-14

arxiv.org/abs/math/0606348v1

Mathematics

Algebraic Geometry

To appear in International Journal of Mathematics

Scientific paper

A coherent system of type (r,d,k) on a curve C is a pair (E,V) where E is a vector bundle of rank r and degree d and V is a space of sections of E of dimension k. There is a condition of stability on coherent systems that depends on a parameter \alpha and allows to construct moduli spaces for such pairs. This paper shows non-emptiness of these moduli spaces when k>r and some mild conditions on the degree and genus are satisfied.

Affiliated with

Also associated with

No associations

Rating

Existence of coherent systems 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 Existence of coherent systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of coherent systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606835