Extensions of vector bundles and rationality of certain moduli spaces of stable bundles

1996/07/02 by Wei-Ping Li, Wei-ping Li, Zhenbo Qin +2
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications #math.AG

paper · pdf · doi:10.48550/arxiv.math/9607224

arxiv created 1996/07/02 · openalex publication_date 1996/07/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, it is proved that certain stable rank-3 vector bundles can be written as extensions of line bundles and stable rank-2 bundles. As an application, we show the rationality of certain moduli spaces of stable rank-3 bundles over the projective plane P².

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