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

Angelo Felice Lopez

Source record

Source: arXiv

Published: Sep 6, 2026

arXiv: 2609.06678

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Source 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 $(X,H)$ .

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