An introduction to Ulrich bundles

Abstract

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.

A few details added for the case of Fano threefolds

References in corpus (1)

• Ulrich bundles on surfaces with $q=p_g=0$

Cited by in corpus (1)

• On the existence of Ulrich bundles on geometrically ruled surfaces