Search

Summary

General coherent systems are defined as pairs $(ℰ, S)$ , where $ℰ$ is a rank-n holomorphic vector bundle and S is a vector subspace of $H^{0} (ℰ_{ρ})$ , $ℰ_{ρ}$ is the vector bundle induced by $ℰ$ and a representation $ρ : G L (n) \overset{}{\to} G L (W)$ . In this work we will prove a Kobayashi-Hitchin correspondence for a simple general coherent system. This is done using well known gauge theoretic techniques which were developed by Bradlow, Garcia-Prada and Mundet i Riera. The focus of this paper is proving that the stability condition that arises is equivalent to the one defined by Alexander Schmitt.

Search Results

Refine search

Refine search

Actions for selected content:

1 results

6 - A Kobayashi–Hitchin Correspondence for General Coherent Systems

Summary

Search Results

Refine search

Refine search

Actions for selected content:

Save Search

1 results

6 - A Kobayashi–Hitchin Correspondence for General Coherent Systems

Summary