4 papers
A focus on focal surfaces
E. Arrondo, M. Bertolini, C. Turrini
We make a systematic study of the focal surface of a congruence of lines in the projective space. Using differential techniques together with techniques from intersection theory, w…
Vector bundles on Fano 3-folds without intermediate cohomology
Enrique Arrondo, Laura Costa
We study the vector bundles without intermediate cohomology on Fano threefolds of index two, degree d=3,4,5 and Betti number one. We obtain a complete characterization in the case…
Vector bundles on G(1,4) without intermediate cohomology
Enrique Arrondo, Beatriz Grana
We characterize the vector bundles on G(1,4) that have no intermediate cohomology. We obtain them from extensions of the universal bundles and others related with them. In particul…
The universal rank-(n-1) bundle on G(1,n) restricted to subvarieties
Enrique Arrondo
We classify those smooth (n-1)-folds in G(1,n) for which the restriction of the rank-(n-1) universal bundle has more than n+1 independent sections. As an aplication, we classify al…