Maximal Mumford curves from planar graphs

M Kummer, B Sturmfels, R Vlad - arXiv preprint arXiv:2404.11838, 2024 - arxiv.org
Maximal Mumford Curves from Planar Graphs arXiv:2404.11838v1 [math.AG] 18 Apr 2024 Page
1 Maximal Mumford Curves from Planar Graphs Mario Kummer, Bernd Sturmfels and Raluca …

[PDF][PDF] Efficient computation of non-archimedean theta functions

M Marc, X Xavier - arXiv preprint arXiv:2408.14918, 2024 - arxiv.org
arXiv:2408.14918v1 [math.AG] 27 Aug 2024 Page 1 EFFICIENT COMPUTATION OF NON-ARCHIMEDEAN
THETA FUNCTIONS MARC MASDEU AND XAVIER XARLES Abstract. We describe an …

Mumford curves covering 𝑝-adic Shimura curves and their fundamental domains

L Amorós, P Milione - Transactions of the American Mathematical Society, 2019 - ams.org
We give an explicit description of fundamental domains associated with the $ p $-adic
uniformisation of families of Shimura curves of discriminant $ Dp $ and level $ N\geq 1$, for …

Tame torsion and the tame inverse Galois problem

M Bisatt, T Dokchitser - Mathematische Annalen, 2021 - Springer
Fix a positive integer g and a squarefree integer m. We prove the existence of a genus g
curve C/Q such that the mod m representation of its Jacobian is tame. The method is to …

[图书][B] Computations and Moduli Spaces for Non-archimedean Varieties

Q Ren - 2014 - search.proquest.com
Tropical geometry and non-archimedean analytic geometry study algebraic varieties over a
field K with a non-archimedean valuation. One of the major goals is to classify varietiess …

Images of Galois representations and p-adic models of Shimura curves

L Amorós Carafí - 2016 - diposit.ub.edu
[eng] The Langlands program is a vast and unifying network of conjectures that connect the
world of automorphic representations of reductive algebraic groups and the world of Galois …

[图书][B] Tropical and non-Archimedean curves

RE Morrison - 2015 - search.proquest.com
Tropical geometry is young field of mathematics that connects algebraic geometry and
combinatorics. It considers “combinatorial shadows” of classical algebraic objects, which …