
handle: 11311/1180845
Abstract In this article, the existence of Ulrich bundles on projective bundles $${{\mathbb {P}}}({{\mathcal {E}}}) \rightarrow X$$ P ( E ) → X is discussed. In the case, that the base variety X is a curve or surface, a close relationship between Ulrich bundles on X and those on $${{\mathbb {P}}}({{\mathcal {E}}})$$ P ( E ) is established for specific polarisations. This yields the existence of Ulrich bundles on a wide range of projective bundles over curves and some surfaces.
Mathematics - Algebraic Geometry, FOS: Mathematics, 14F06, 14J60, 14H60, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, FOS: Mathematics, 14F06, 14J60, 14H60, Algebraic Geometry (math.AG)
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