3 papers
math.AG2018
Ulrich bundles on three dimensional scrolls
Maria Lucia Fania, Margherita Lelli-Chiesa, Joan Pons-Llopis
In this paper we construct Ulrich bundles of low rank on three-dimensional scrolls (with respect to the tautological line bundle). We pay special attention to the four types of thr…
math.AG2018
aCM vector bundles on projective surfaces of nonnegative Kodaira dimension
Edoardo Ballico, Sukmoon Huh, Joan Pons-Llopis
In this paper we contribute to the construction of families of arithmetically Cohen-Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces $(X,\Oo_X(1))…
math.AG2017
Ulrich bundles on smooth projective varieties of minimal degree
Marian Aprodu, Sukmoon Huh, Francesco Malaspina +1
We classify the Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differen…