Deciding stability of sheaves on curves
| Autor(en): | Brenner, Holger Steinbuch, Jonathan |
Stichwörter: | Mathematics; Semistability; symmetric powers; syzygy sheaf; vector bundle | Erscheinungsdatum: | 2022 | Herausgeber: | WORLD SCIENTIFIC PUBL CO PTE LTD | Journal: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | Volumen: | 32 | Ausgabe: | 04 | Startseite: | 859 | Seitenende: | 884 | Zusammenfassung: | 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. |
ISSN: | 0218-1967 | DOI: | 10.1142/S0218196722500369 |
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