Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
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