We introduce a generalization of CM-triviality relative to a fixed invariant collection of partial types, in analogy to the Canonical Base Property defined by Pillay, Ziegler and Chatzidakis which generalizes one-basedness. We show that, under this condition, a stable field is internal to the family, and a group of finite Lascar rank has a normal nilpotent subgroup such that the quotient is alm...

Happy birthday CM! On 23 November 2006, we launched Chinese Medicine (CM), a peer-reviewed, open access, international, interdisciplinary and scholarly journal in Chinese medicine [1]. Two years on, with the best efforts and sometimes personal sacrifices made by the authors, editorial and advisory board members, reviewers, and the editorial teams in Macao and at BioMed Central in London, we hav...

Abstract Linked Article: Eshagh et al. Br J Dermatol 2022; 187:318–323.

Edwards curves are a particular form of elliptic curves that admit a fast, unified and complete addition law. Relations between Edwards curves and Montgomery curves have already been described. Our work takes the view of parameterizing elliptic curves given by their j-invariant, a problematic that arises from using curves with complex multiplication, for instance. We add to the catalogue the li...

We show that any effective Hodge structure of CMtype occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture for the class of all CM abelian varieties implies the general Hodge conjecture for the same class.