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In this paper we study the wild part of the finite monodromy groups of abelian varieties over number fields. We solve Grunwald problems for groups of the form $\mathbf{Z}/p\mathbf{Z}\wr \mathfrak{S}_n$… Click to show full abstract
In this paper we study the wild part of the finite monodromy groups of abelian varieties over number fields. We solve Grunwald problems for groups of the form $\mathbf{Z}/p\mathbf{Z}\wr \mathfrak{S}_n$ over number fields to build CM abelian varieties with maximal wild finite monodromy in the odd prime case. For the even prime case we prove a new bound on the 2-part of the order of the finite monodromy group for CM abelian varieties and build varieties that reach it.
Keywords:
grosse monodromie;
vari liennes;
liennes grosse;
finite monodromy;
monodromie finie;
abelian varieties
Journal Title: Journal of Number Theory
Year Published: 2022
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Journal Title: Journal of Number Theory
Year Published: 2022
Link to full text (if available)
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recommendations!