a1 Department of Mathematics, University of California, Irvine, Irvine, CA 92697, USA (email@example.com)
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.
(Received November 03 2007)
2010 Mathematics subject classification