Filippo Viviani (Uni Roma Tre) und Alexis Kouvidakis (Uni of Crete)
Wednesday, January 17, 2018 - 13:00
HU, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin-Adlershof, 1.114, 1. Stock
Forschungsseminar "Algebraische Geometrie"
Prof. Dr. Gavril Farkas, Prof. Dr. Bruno Klingler
In the above talks we study the convex-geometric properties of the cone of (pseudo)-effective n-cycles in the symmetric product of a curve. In the first talk, we introduce and study the Abel-Jacobi faces, related to the contractibility properties of the Abel-JAcobi morphism and to classical Brill-Noether varieties. In the second talk, we study the cone generated by the n-dimensional diagonal cycles and we prove that it is a perfect face of the cone of (pseudo)-effective cycles. This is joint work with F. Bastianelli and A.F. Lopez.
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