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For a smooth projective curve C with genus g ≥ 2 and a degree 1 line bundle L on C, let M := SUC(r, L) be the moduli space of stable vector bundles of rank r over C with the fixed determinant L. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3. © World Scientific Publishing Company.

SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES