Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians

Details Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians

1994-05-20

arxiv.org/abs/alg-geom/9405009v1

Mathematics

Algebraic Geometry

8 pages, AmS-TeX 2.1

Scientific paper

Let $X$ be a Fano manifold which is the zero scheme of a general global
section $s$ in an irreducible homogenous vector bundle over a Grassmannian. We
prove that the restriction of the Pl\"ucker embedding embeds $X$ projectively
normal, and that every small deformation of $X$ comes from a deformation of the
section $s$. These results are strengthened in the case of Fano 4-folds.

Affiliated with

Also associated with

No associations

Rating

Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians 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 Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some properties of Fano manifolds that are zeros of sections in homogenous vector bundles over Grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575975