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arXiv · 1711.08305

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

Kyoung-Seog Lee·Kyeong-Dong Park
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Abstract

We study moduli spaces of Ulrich bundles of rank $r \geq 2$ 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.

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Kyoung-Seog Lee, Kyeong-Dong Park. 2017-11-22. Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$. https://doi.org/10.1016/j.jalgebra.2021.01.015

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