37 citations · 56 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
A remark on Zak's theorem on tangencies
José Carlos Sierra
We present a slightly different formulation of Zak's theorem on tangencies as well as some applications. In particular, we obtain a better bound on the dimension of the dual variet…
On globally generated vector bundles on projective spaces II
José Carlos Sierra, Luca Ugaglia
Extending a previous result of the authors, we classify globally generated vector bundles on projective spaces with first Chern class equal to three.