Bounded height in pencils of finitely generated subgroups
Date
Thursday, October 17, 2019 13:30 - 15:30
Speaker
Umberto Zannier (Scuola Normale Superiore, Italy)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Timothy Browning
Contact
The context is about sections of a pencil of tori or abelian varieties. Several results concern the set of parameters which destroy independence. We shall look at a generalization of this issue:
"For which parameters does a finitely generated group of sections meet a given subvariety?"
We shall discuss some joint results with Amoroso and Masser, for toric pencils: Under suitable assumptions we prove bounded height for the said parameters. There are diophantine applications.