Oct 17, 2019
Bounded height in pencils of finitely generated subgroups
Date: October 17, 2019 |
1:30 pm –
3:30 pm
Speaker:
Umberto Zannier, Scuola Normale Superiore, Italy
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
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.
“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.
