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math.NT2015★ 29 cited
Deformations of Galois representations and exceptional monodromy
Stefan Patrikis
For any simple algebraic group of exceptional type, we construct geometric -adic Galois representations with algebraic monodromy group equal to , in particular produci…
math.NT2015★ 6 cited
Anabelian geometry and descent obstructions on moduli spaces
Stefan Patrikis, José Felipe Voloch, Yuri Zarhin
We study the section conjecture of anabelian geometry and the sufficiency of the finite descent obstruction to the Hasse principle for the moduli spaces of principally polarized ab…