Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - October 2010 - Volume 53, Issue 03  

Research Article

Norm functors and effective zero cycles

Vladimir Baranovskya1

a1 Department of Mathematics, University of California, Irvine, Irvine, CA 92697, USA (vbaranov@math.uci.edu)

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.

(Received November 03 2007)

Keywords

  • zero cycles;
  • determinant bundles;
  • Chow varieties

2010 Mathematics subject classification

  • Primary 14C05;
  • Secondary 14D23