Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces
نویسندگان
چکیده
Using Calegari's result on the Fontaine-Mazur conjecture, we study irreducibility of pure, regular, rank 3 weakly compatible systems self-dual l-adic representations. As a consequence, prove that Tate conjecture holds for family elliptic surfaces defined over Q with geometric genus bigger than 1.
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چکیده ندارد.
Galois Representations and Lubin-Tate Groups
Using Lubin-Tate groups, we develop a variant of Fontaine’s theory of (φ,Γ)-modules, and we use it to give a description of the Galois stable lattices inside certain crystalline representations.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2021
ISSN: ['1073-2780', '1945-001X']
DOI: https://doi.org/10.4310/mrl.2021.v28.n5.a4