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Norm functors and effective zero cycles
Published online by Cambridge University Press: 12 August 2010
Abstract
We compare two known definitions for a relative family of effective zero cycles: one based on traces of functions and one based on norms of functions. In characteristic zero we show that both definitions agree. In the general setting we show that the norm map on functions can be expanded to a norm functor between certain categories of line bundles, thereby giving a third approach to families of zero cycles.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 557 - 574
- Copyright
- Copyright © Edinburgh Mathematical Society 2010
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