Stability and Moduli Spaces
In this section we introduce the crucial concept of stability of holomorphic vector bundles over ℙn. We begin by collecting together several theorems about torsion-free, normal and reflexive sheaves which we shall need later. Then we define stable and semistable torsion-free sheaves in the sense of Mumford and Takemoto and compare this concept of stability with that of oℙn (1)-stability as introduced by Gieseker and Maruvama. In a final section we investigate the stabilty of a number of bundles with which we became acquainted in earlier sections.
KeywordsModulus Space Exact Sequence Line Bundle Spectral Sequence Chern Class
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