Abstract: The anticanonical system is probably one of the most natural objects associated with a Fano manifold. In this talk, I will present some examples of Fano manifolds with nonempty anticanonical base locus and discuss a new result on the anticanonical system of Fano fourfolds: if the base locus is a normal irreducible surface, then all of its members are singular. Joint work with Andreas Höring.

◎Organizer: Arkadij Bojko
Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
More details: Algebraic Geometry Seminar