forgot password?
register here
Research articles
  search articles
  reviews guidelines
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
Members: 3158
Articles: 2'154'691
Articles rated: 2589

18 January 2022
  » arxiv » 1911.0833

 Article overview

On vector bundles over hyperk"ahler twistor spaces
Indranil Biswas ; Artour Tomberg ;
Date 3 Nov 2019
AbstractWe study the holomorphic vector bundles $E$ on the twistor space $mathrm{Tw}(M)$ of a compact simply connected hyperk"ahler manifold $M$. We give a characterization of semistability of $E$ in terms of its restrictions to the sections of the holomorphic twistor projection $pi ,:, mathrm{Tw}(M),longrightarrow, mathbb{CP}^1$, and show that $E$ only admits trivial holomorphic connections (and this only if $E$ is itself trivial). For irreducible $E$ of prime rank, we prove that its restriction to the generic fibre of $pi$ is stable. On the other hand, for $M$ a K3 surface, we construct examples of irreducible bundles of any composite rank on $mathrm{Tw}(M)$ whose restriction to every fibre of $pi$ is non-stable. We have a new method of constructing irreducible bundles on hyperk"ahler twistor spaces, which is used in constructing these examples.
Source arXiv, 1911.0833
Services Forum | Review | PDF | Favorites   
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
of broad interest:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser CCBot/2.0 (
» my Online CV
» Free

News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2022 - Scimetrica