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arXiv · 2609.06678

On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle

Angelo Felice Lopez
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Abstract

Using some recent examples of Anghel in dimension $2$, we prove that for any $n \ge 3$ there exist many smooth $n$-dimensional varieties $X$ with a very ample line bundle $H$, such that there is no Ulrich bundle for $(X,H)$. Moreover, we find many new examples in dimension $2$.

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Angelo Felice Lopez. 2026-09-06. On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle. https://arxiv.org/abs/2609.06678

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