Abstract
This chapter highlights a compactification of a moduli space of stable vector bundles on a rational surface. It discusses semi-stable sheaves, semi-stable sheaves on a rational surface, and semi-stability of the universal extension. The chapter presents a convention of stable sheaves and an order among polynomials in Q[x]. It also describes a way to construct a stable reflexive sheaf by using successive extensions of μ-stable reflexive sheaves. The chapter discusses the extent to which the universal extension U(E) of E inherits the stability or the semi-stability of E.
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More From: Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata
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