For a Galois extension
with
and
, we determine the
-module structure of
. Although there are an infinite number of (pairwise nonisomorphic) indecomposable
-modules, our decomposition includes at most nine indecomposabl…
We develop tools for constructing rigid analytic trivializations for Drinfeld modules as infinite products of Frobenius twists of matrices, from which we recover the rigid analytic trivialization given by Pellarin in terms of Anderson generating func…
In this article, we generalize Haglund and Wise’s theory of special cube complexes to groups acting on quasi-median graphs. More precisely, we define special actions on quasi-median graphs, and we show that a group which acts specially on a quasi-med…
This paper studies a class of singular fibrations, called self-crossing boundary fibrations, which play an important role in semitoric and generalized complex geometry. These singular fibrations can be conveniently described using the language of Lie …
Although there is no natural internal product for hermitian forms over an algebra with involution of the first kind, we describe how to multiply two
-hermitian forms to obtain a quadratic form over the base field. This allows to define a commutat…
Let R be a discrete valuation domain with field of fractions Q and maximal ideal generated by
. Let
be an R-order such that
is a separable Q-algebra. Maranda showed that there exists
such that for all
-lattices L and M, if …
Let
be an integer and let
be an abelian variety that is isogenous over
to a product of g elliptic curves defined over
, pairwise non-isogenous over
and each without complex multiplication. For an integer t and a positive …
In our previous paper (Gaster et al., 2018, arXiv:1810.11932), we showed that the theory of harmonic maps between Riemannian manifolds, especially hyperbolic surfaces, may be discretized by introducing a triangulation of the domain manifold with indep…
In this paper, we consider the family of nth degree polynomials whose coefficients form a log-convex sequence (up to binomial weights), and investigate their roots. We study, among others, the structure of the set of roots of such polynomials, showing…