Remarks on lines and minimal rational curves

TL;DR

This paper characterizes all lines in the moduli space of stable bundles of any rank and degree, and explores applications of minimal rational curves within this context.

Contribution

It provides a complete classification of lines in the moduli space and applies minimal rational curves to new geometric problems.

Findings

All lines in the moduli space are determined.

Applications of minimal rational curves are demonstrated.

Results hold for arbitrary rank and degree.

Abstract

We determine all of lines in the moduli space $M$ of stable bundles for arbitrary rank and degree. A further application of minimal rational curves is also given in last section.