Conference on Analytic and Algebraic Geometry, Mumbai, Hindistan, 16 - 20 Mart 2015, ss.85-106
The purpose of this article is to serve as an introduction to Ulrich bundles for
interested readers. We discuss the origins of the study of Ulrich bundles, their
elementary properties, and we give an exposition of the known results in their
classification on various kinds of smooth projective varieties. As an illustration
of a method recently used by Marta Casanellas and Robin Hartshorne for the
classification of Ulrich bundles on a cubic surface, we classify the stable Ulrich
bundles on a smooth quartic surface in P^3
of Picard number 2 by first Chern
class.