Compactification of the moduli space of instanton sheaves on the Fano threefold $V_5$

Abstract

We study semistable sheaves of rank $2$ with Chern classes $c_1=0$, $c_2=2$ and $c_3=0$ on the Fano 3-fold $V_5$ 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 ${\mathbb{P}}^5$ 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 $V_5$.

arXiv comment22 pages. Final version. To appear in JPAA

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Cited by in corpus (3)

• Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$
• Bridgeland stability of minimal instanton bundles on Fano threefolds
• Compactification of the moduli space of minimal instantons on the Fano threefold $V_4$