Deciding Stability of Sheaves on Curves

2021/03/23 by Brenner, Holger, Steinbuch, Jonathan
#14 04 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.12493

Abstract

We give an algorithm to determine whether a kernel sheaf over a smooth projective curve over an algebraically closed field is semistable. The algorithm uses symmetric powers to make destabilizing subbundles visible as global sections.

Related

• Classification of semistable sheaves on a rational curve with one node
• Stability of sheaves of locally closed and exact forms
• Boundedness of semistable sheaves
• Instability of Truncated Symmetric Powers of sheaves
• Stability of Picard sheaves for vector bundles on curves