Author

Andersson Martin

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Preprint Oct 2026

Lie weights for CM curves and unipotent Selmer dimensions

We prove an equidistribution result for Galois characters in the graded Lie components $L_n$ associated to the $\mathbf{Q}_p$-fundamental group of a projective hyperbolic curve $X$ over a number field $k$ with geometrically CM Jacobian. That is, we consider the $p$-adic completion of a fixed character lattice, where we...

Andersson Martin · 0 citations

Preprint Oct 2026

Unipotent Selmer dimensions for CM curves via Iwasawa loci

Let $X/\mathbb{Q}$ be a smooth, projective, geometrically integral curve of genus $g \geq 2$ with a point $ b \in X(\mathbb{Q})$ and geometrically CM Jacobian. Fix an odd prime $p$ of good reduction, and let $U$ be the \'etale pro-unipotent $\mathbb{Q}_p$-fundamental group of $X$. We prove, for all $n \gg 0,$ the inequ...

Andersson Martin · 0 citations