Abstract:
Since the late 19th century, a classical problem in Algebraic Geometry was to find a nice description of the group of birational transformations of the projective plane ℙ2 to itself. Coble surfaces were introduced with this aim. After a brief introduction on their definition and main properties, we will reconstruct the moduli space of Coble surfaces MCoble, compute its dimension, and show that every Coble surface X admits a distinguished Coble curve C ⊂ X. We will conclude the discussion talking about the Coble conjecture: for a fixed Coble surface X, can we find transformations φ : X → X acting identically on the Coble curve? How many surfaces inside MCoble have this property?
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, via della Vasca Navale, 84- aula B.
This post is also available in: Link identifier #identifier__41767-5Eng