Let X be a uniruled projective manifold, i.e., a protective manifold that can be filled up by rational curves. Fixing a polarization and minimizing degrees among free rational curves we have the notion of minimal rational curves. Let κ be a minimal rational component, i.e., an irreducible component of the Chow space of minimal rational curves. By a minimal rational curve we will mean a member of κ. A general minimal rational curve is immersed, and the normal bundle has only direct summands of degrees 1 and 0. We call these standard minimal rational curves.
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