EULER SYSTEMS FOR HILBERT MODULAR SURFACES
Copyright policy )EULER SYSTEMS FOR HILBERT MODULAR SURFACES
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture of Bloch and Kato on injectivity of regulator maps holds, this Euler system is nontrivial, and we deduce bounds towards the Iwasawa main conjecture for these Galois representations.
- University of Warwick United Kingdom
- University College London United Kingdom
- Université Laval Canada
11F80, Mathematics - Number Theory, Galois representations, 11F67, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, 11F41, 11F41, 11F67, 11F80, 11R23, 11R23, QA1-939, FOS: Mathematics, Number Theory (math.NT), QA, Mathematics, Iwasawa theory
11F80, Mathematics - Number Theory, Galois representations, 11F67, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, 11F41, 11F41, 11F67, 11F80, 11R23, 11R23, QA1-939, FOS: Mathematics, Number Theory (math.NT), QA, Mathematics, Iwasawa theory
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