## 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.

### MSC:

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

### Keywords:

semistability; vector bundle; symmetric powers; syzygy sheaf

### Software:

Macaulay2; CoCoA; Normaliz; SuitSparseQR; SuiteSparseQR
Full Text:

### References:

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