1994Transactions of the American Mathematical SocietyOpen access

Stable Vector Bundles on Algebraic Surfaces

Wei-Ping Li, Zhenbo Qin

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Abstract

We prove an existence result for stable vector bundles with arbitrary rank on an algebraic surface, and determine the birational structure of a certain moduli space of stable bundles on a rational ruled surface.

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We prove an existence result for stable vector bundles with arbitrary rank on an algebraic surface, and determine the birational structure of a certain moduli space of stable bundles on a rational ruled surface.

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Available abstract

We prove an existence result for stable vector bundles with arbitrary rank on an algebraic surface, and determine the birational structure of a certain moduli space of stable bundles on a rational ruled surface.

Key concepts: Mathematics, Vector bundle, Moduli space, Rank (graph theory), Pure mathematics, Algebraic surface, Algebraic number, Birational geometry

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