Canadian Mathematical Society
Canadian Mathematical Society
  location:  Eventssee all events
next up previous
Next: D. Roy - Criteria Up: Number Theory / Théorie Previous: Yannis Petridis - Zeros

Gael Rémond - Theta heights and Kodaira construction

GAEL RÉMOND, University of Ottawa, Ottawa, Ontario  K1N 6N5, Canada
Theta heights and Kodaira construction

We prove that in Kodaira construction a height on the base curve is described by the theta height of the jacobians of the fibres. We make use of theta heights as introduced by Bost and David who prove a comparison with Faltings' height. Therefore our result shows that a suitable effective version of Shafarevich conjecture (a bound for Faltings' height) implies an effective Mordell.


© Canadian Mathematical Society, 2017 :