37 citations · 56 across the 11 of their papers we have counts for
15 papers
On the classification of non-big Ulrich vector bundles on fourfolds
Angelo Felice Lopez, Roberto Muñoz, José Carlos Sierra
We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds a…
Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension
Angelo Felice Lopez, Roberto Muñoz, José Carlos Sierra
On any smooth -dimensional variety we give a pretty precise picture of rank Ulrich vector bundles with numerical dimension at most . Also, we classify non-b…
A geometrical view of Ulrich vector bundles
Angelo Felice Lopez, José Carlos Sierra
We study geometrical properties of an Ulrich vector bundle of rank on a smooth -dimensional variety . We characterize ampleness of and of $\…
Quadro-quadric special birational transformations of projective spaces
Alberto Alzati, José Carlos Sierra
Special birational transformations $Φ:\p^r\da Z$ defined by quadric hypersurfaces are studied by means of the variety of lines $\mathcal L_z\subset\p^{r-1}$ passing through a gener…
Special birational transformations of projective spaces
Alberto Alzati, José Carlos Sierra
Extending some results of Crauder and Katz, and Ein and Shepherd-Barron on special Cremona transformations, we study birational transformations of the complex projective spaces ont…
Surfaces containing a family of plane curves not forming a fibration
José Carlos Sierra
We complete the classification of smooth surfaces swept out by a 1-dimensional family of plane curves that do not form a fibration. As a consequence, we characterize manifolds swep…