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Descent on Picard groups using functions on curves

Published online by Cambridge University Press:  17 April 2009

Samir Siksek
Samir Siksek
Affiliation:
Department of Mathematics, Faculty of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Oman e-mail: siksek@squ.edu.om
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Abstract

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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
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 119 - 124
Copyright
Copyright © Australian Mathematical Society 2002

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