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
1. Verfasser: Qin, Xuqiang
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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2020.106526