|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||On the Hilbert Property and the fundamental group of algebraic varieties|
|Affiliation:||Scuola Normale Superiore di Pisa|
|Date:||Tuesday, May 10|
|Time/Room:||4:30pm - 5:30pm/Fine 214, Princeton University|
This concerns recent work with P. Corvaja in which we relate the Hilbert Property for an algebraic variety (a kind of axiom linked with Hilbert Irreducibility, relevant e.g. for the Inverse Galois Problem) with the fundamental group of the variety. In particular, this leads to new examples (of surfaces) of failure of the Hilbert Property. We also prove the Hilbert Property for a non-rational surface (whereas all previous examples involved rational varieties).