SEMINARIO DI GEOMETRIA ALGEBRICA
Giovedì 30 Giugno 2011, alle ore 14.30
presso l’aula C del Dipartimento di Matematica dell’Università di Milano,
il prof. Luis E. Solá Conde (Universidad Rey Juan Carlos { Madrid)
terrà un seminario dal titolo
Vector bundles on Fano manifolds
Abstract: This is an account on a joint work with R. Muoz and G. Occhetta, inwhich we deal with vector bundles of rank two on a Fano manifold X with b2 = b4 =1. More concretely, we study the nef and pseudoe®ective cones of the corresponding projectivizations and show how these cones are related to the decomposability of the vector bundle. From these results we infer several consequences: we obtain the complete list of P1-bundles over X that have a second P1-bundle structure, classify all the uniform rank two vector bundles on this class of Fano manifolds and show the stability of indecomposable Fano bundles (with one exception on P2).