Proper base change for zero cycles

Proper base change for zero cycles - Moritz Kerz

Moritz Kerz
University of Regensburg; Member, School of Mathematics
February 17, 2015
We study the restriction map to the closed fiber for the Chow group of zero-cycles over a complete discrete valuation ring. It turns out that, for proper families of varieties and for certain finite coefficients, the restriction map is an isomorphism. One can also ask whether for other motivic cohomology groups with finite coefficients one gets a restriction isomorphism.