Categoria:
Seminari di Algebra e Geometria
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica, Sapienza Università di Roma
Speaker:
Erwan Rousseau (Aix-Marseille Université)
Campana introduced the class of special varieties as the varieties admitting no maps onto
an orbifold of general type. They are also characterized by the non-existence of Bogomolov
sheaves which are rank one coherent subsheaves of maximal Kodaira dimension in some
exterior power of the cotangent bundle.
Campana has conjectured that one can replace the Kodaira dimension by the numerical
dimension in this characterization.
We prove partially this conjecture showing that a projective manifold admitting a rank one
coherent subsheaf of the cotangent bundle with numerical dimension 1 is not special.
This is a joint work with J.V. Pereira and F. Touzet.