Triviality of vector bundles on sufficiently twisted ind-Grassmannians

Details Triviality of vector bundles on sufficiently twisted ind-Grassmannians Triviality of vector bundles on sufficiently twisted ind-Grassmannians

2007-06-27

arxiv.org/abs/0706.3912v1

Mathematics

Algebraic Geometry

Scientific paper

Twisted ind-Grassmannians are ind-varieties $\GG$ obtained as direct limits of Grassmannians $G(r_m,V^{r_m})$, for $m\in\ZZ_{>0}$, under embeddings $\phi_m:G(r_m,V^{r_m})\to G(r_{m+1}, V^{r_{m+1}})$ of degree greater than one. It has been conjectured in \cite{PT} and \cite{DP} that any vector bundle of finite rank on a twisted ind-Grassmannian is trivial. We prove this conjecture under the assumption that the ind-Grassmannian $\GG$ is sufficiently twisted, i.e. that $\lim_{m\to\infty}\frac{r_m}{\deg \phi_1...\deg\phi_m}=0$.

Affiliated with

Also associated with

No associations

Rating

Triviality of vector bundles on sufficiently twisted ind-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 Triviality of vector bundles on sufficiently twisted ind-Grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Triviality of vector bundles on sufficiently twisted ind-Grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255237