On endomorphisms of projective bundles

Details On endomorphisms of projective bundles On endomorphisms of projective bundles

2002-09-18

arxiv.org/abs/math/0209220v1

Mathematics

Algebraic Geometry

LaTeX 2.09, 13 pages

Scientific paper

Let $X$ be a complex projective bundle. We prove that $X$ admits an endomorphism of degree $>1$ and commuting with the projection to the base, if and only if $X$ trivializes after a finite covering. When $X$ is the projectivization of a vector bundle $E$ of rank 2, we prove that it has an endomorphism of degree $>1$ on a general fiber only if $E$ splits after a finite base change.

Affiliated with

Also associated with

No associations

Rating

On endomorphisms of projective bundles 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 endomorphisms of projective bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On endomorphisms of projective bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196608