Explicit Description of A Certain Destabilizing Wall of Skyscraper Sheaves on Ruled Surfaces

2016/11/28 by Uchiba, Takayuki
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.09278

Abstract

We give a explicit description of gluing stability conditions on ruled surfaces by introducing gluing perversity. Moreover, we describe a destabilizing wall of skyscraper sheaves on ruled surfaces by deformation of stability conditions glued from \widetildeGL⁺(2,ℝ)-translates of the standard stability condition on the base curve.

Related

• Gluing stability conditions
• Gluing for stable families of surfaces in mixed characteristic
• New moduli spaces of one-dimensional sheaves on ℙ³
• Weight functions, tilts, and stability conditions
• Geometry on the Gluing Locus of Two Surfaces