@article{4833321fa340495b855278331c885d01, title = "Points of small height on semiabelian varieties", abstract = "The equidistribution conjecture is proved for general semiabelian varieties over number fields. Previously, this conjecture was only known in the special case of almost split semiabelian varieties through work of Chambert-Loir. The general case has remained intractable so far because the height of a semiabelian variety is negative unless it is almost split. In fact, this places the conjecture outside the scope of Yuan's equidistribution theorem on algebraic dynamical systems. To overcome this, an asymptotic adaption of the equidistribution technique invented by Szpiro, Ullmo, and Zhang is used here. It also allows a new proof of the Bogomolov conjecture and hence a self-contained proof of the strong equidistribution conjecture in the same general setting.", keywords = "Arakelov geometry, arithmetic intersection theory, Bogomolov conjecture, equidistribution, semiabelian varieties, small height", author = "Lars K{\"u}hne", note = "Funding Information: This work was supported by an Ambizione Grant of the Swiss National Science Founda-", year = "2022", month = sep, day = "25", doi = "10.4171/JEMS/1125", language = "English", volume = "24", pages = "2077--2131", journal = "Journal of the European Mathematical Society", issn = "1435-9855", publisher = "European Mathematical Society Publishing House", number = "6", }