A note on Chow stability of the Projectivisation of Gieseker Stable Bundles

Details A note on Chow stability of the Projectivisation of Gieseker Stable Bundles A note on Chow stability of the Projectivisation of Gieseker Stable Bundles

2011-10-20

arxiv.org/abs/1110.4489v2

Mathematics

Differential Geometry

22 pages. References added, cosmetic changes since 1rst version

Scientific paper

We investigate Chow stability of projective bundles P(E) where E is a
strictly Gieseker stable bundle over a base manifold that has constant scalar
curvature. We show that, for suitable polarisations L, the pair (P(E),L) is
Chow stable and give examples for which it is not asymptotically Chow stable.

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