Compactification of the moduli space of minimal instantons on the Fano 3-fold V5
We study semistable sheaves of rank 2 with Chern classes c1=0, c2=2 and c3=0 on the Fano 3-fold V5 of Picard number 1, degree 5 and index 2. We show that the moduli space of such sheaves has a component that is isomorphic to P5 by identifying it with the moduli space of semistable quiver representat...
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Veröffentlicht in: | Journal of pure and applied algebra 2021-03, Vol.225 (3), p.106526, Article 106526 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We study semistable sheaves of rank 2 with Chern classes c1=0, c2=2 and c3=0 on the Fano 3-fold V5 of Picard number 1, degree 5 and index 2. We show that the moduli space of such sheaves has a component that is isomorphic to P5 by identifying it with the moduli space of semistable quiver representations. This provides a natural smooth compactification of the moduli space of minimal instantons, as well as Ulrich bundles of rank 2 on V5. |
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ISSN: | 0022-4049 1873-1376 |
DOI: | 10.1016/j.jpaa.2020.106526 |