Rational families of vector bundles on curves, I

Details Rational families of vector bundles on curves, I Rational families of vector bundles on curves, I

2003-02-12

arxiv.org/abs/math/0302133v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

Let C be a smooth complex projective curve of genus at least 2 and let M be the moduli space of rank 2, stable vector bundles on C, with fixed determinant of degree 1. For any k>1, we find two irreducible components of the space of rational curves of degree k on M. One component, which we call the nice component has the property that the general element is a very free curve if k is sufficiently large. The other component has the general element a free curve. Both components have the expected dimension and their maximal rationally connected fibration is the Jacobian of the curve C.

Affiliated with

Also associated with

No associations

Rating

Rational families of vector bundles on curves, I 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 Rational families of vector bundles on curves, I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational families of vector bundles on curves, I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-439347