Lower bounds for heights on some algebraic dynamical systems · arXivDesk
2502.03039Feb 5, 2025Theorem 1.2 has been greatly improved. The first version dealt with lower bounds for the Néron-tate height on abelian varieties that are totally degenerate at some finite place $v$ of a number field $K$. In v2, we obtain the same lower bound for all abelian varieties over K whose simple abelian subvarieties of $A_{\bar{K}}$ are degenerate at some finite place of $\bar{K}$ lying over $v$
Lower bounds for heights on some algebraic dynamical systems