Article contents
Descent on Picard groups using functions on curves
Published online by Cambridge University Press: 17 April 2009
Abstract
Let k be a perfect field, X a smooth curve over k, and denote by Xc the subset of closed points of X. We show that for any non-constant element f of the function field k (X) there exists a natural homomorphism Where
We explain how this generalises the usual results on descents on Jacobians and Picard groups of curves.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2002
References
- 1
- Cited by