On the instability of syzygy bundles on toric surfaces

2024/09/07 by Devey, Lucie, Hering, Milena, Jochemko, Katharina +1
#14D20 #14J26 #14J60 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.04666

Abstract

We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable.

Related

• Stability of syzygy bundles on smooth projective varieties
• Stability of syzygy bundles on an algebraic surface
• Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces
• Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces
• On Stability of Syzygy Bundles