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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/226124
Instanton bundles vs Ulrich bundles on projective spaces
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We relate the existence of rank $r$ Ulrich bundles on a Veronese 3-fold $\left(\mathbb{P}^3, \mathcal{O}_{\mathbb{P}^3}(d)\right)$ with the existence of rank $r$ instanton bundles on $\mathbb{P}^3$. This relation will allow us to prove the existence of rank $r$ Ulrich bundles on $\left(\mathbb{P}^3, \mathcal{O}_{\mathbb{P}^3}(d)\right)$ for certain values of $(d, r)$. For instance, we explicitly determine the integers $r$ such that rank $r$ Ulrich bundles on $\mathbb{P}^3$ for the Veronese embedding $\mathcal{O}_{\mathbb{P}^3}(3)$ exist and, in particular, we solve the first open case of Conjecture 4.1.
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COSTA FARRÀS, Laura and MIRÓ-ROIG, Rosa M. (Rosa Maria). Instanton bundles vs Ulrich bundles on projective spaces. Beitrage zur Algebra und Geometrie. 2021. Vol. 62, num. 429-439. ISSN 0138-4821. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/226124