Based on the Cayley, Grothendieck, Knudsen Mumford theory of determinants we extend the CM polarization to the Hilbert scheme. The Baum Fulton Macpherson GRR Theorem enables us to show that on any flat, proper, local complete intersection family the restriction of the extension and the original CM sheaf are isomorphic (under a mild hypothesis on the base). As a consequence the CM stability impl...

OBJECTIVES This study examined the association between 2 dimensions of adults' self-rated health and residential stability in childhood. METHODS Using data from the nationally representative survey Midlife in the United States, I assessed the impact of neighborhood and family stability on positive perceptions of global health and mental health in midlife. RESULTS Neighborhood stability in c...