Deciding stability of sheaves on curves. (English) Zbl 1492.14058

The authors show that there is 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.


14H60 Vector bundles on curves and their moduli
14-04 Software, source code, etc. for problems pertaining to algebraic geometry
Full Text: DOI arXiv


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