Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$

Abstract

We study moduli spaces of Ulrich bundles of rank $r\ge 2$ on the Fano 3-fold $V_5$ of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundles of rank $r$ on $V_5$ can be identified with a smooth $(r^2+1)$-dimensional open subset of the moduli space of stable quiver representations with dimension vector $(r,r)$ of the Kronecker quiver with 2 vertices and 3 arrows.

13 pages

References in corpus (3)

• Moduli of representations of quivers
• Equivariant Ulrich bundles on exceptional homogeneous varieties
• Compactification of the moduli space of instanton sheaves on the Fano threefold $V_5$

Cited by in corpus (4)

• Compactification of the moduli space of instanton sheaves on the Fano threefold $V_5$
• Equivariant Ulrich bundles on exceptional homogeneous varieties
• Dual exceptional collections on Lagrangian Grassmannians
• Ulrich Trichotomy on del Pezzo surfaces