Abstract
After recalling the definition and basic properties of Ulrich bundles, we focus on the existence problem: does every smooth projective variety carry an Ulrich bundle? We show that the Serre construction provides a positive answer on certain surfaces and threefolds.
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Beauville, A. An introduction to Ulrich bundles. European Journal of Mathematics 4, 26–36 (2018). https://doi.org/10.1007/s40879-017-0154-4
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DOI: https://doi.org/10.1007/s40879-017-0154-4
Keywords
- Ulrich bundle
- Determinantal hypersurfaces
- Enriques surface
- Abelian surface
- Bielliptic surface
- Fano threefolds