A lower bound for the canonical height on elliptic curves over abelian extensions

Let E/K be an ellptic curve defined over a number field, let h be the canonical height on E, and let K^ab be the maximal abelian extension of K. Extending work of M. Baker, we prove that there is a positive constant C(E/K) so that every nontorsion point P in E(K^ab) satisfies h(P) > C(E/K)

On the Relationship between Normative Claims and Empirical Realities in Immigration

What is and what ought to be the relationship between empirical research and normative analysis with respect to migration policies? The paper addresses this question from the perspective of political theory, asking about the place of empirical research in philosophical discussions of migration, and, for the most part, leaving to others questions about what role, if any, normative considerations do and should play in empirical research on migration. At the outset the paper also takes note of one important way in which empirical research can and should contribute to normative discussions of migration, quite apart from its role in contributing to political philosophy. DOI: 10.17879/15199614880