An introduction to Ulrich bundles

Arnaud Beauville (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

After recalling the definition and basic properties of Ulrich bundles, we focus on the existence problem: does any smooth projective variety carry a Ulrich bundle? We show that the Serre construction provides a positive answer on certain surfaces and threefolds.

Domaines: Géométrie algébrique [math.AG]

Arnaud Beauville. An introduction to Ulrich bundles. European Journal of Mathematics, 2018, 4 (1), pp.26-36. ⟨hal-02509855⟩