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math.NT2010★ 1 cited
Diophantine decidability for curves and Grothendieck's section conjecture
Ambrus Pal
Let be a smooth, projective, geometrically irreducible curve of genus at least two defined over a number field . We prove that there is an algorithm that determines whether…
math.NT2010★ 3 cited
Étale homotopy equivalence of rational points on algebraic varieties
Ambrus Pal
It is possible to talk about the étale homotopy equivalence of rational points on algebraic varieties by using a relative version of the étale homotopy type. We show that over -…