Differential algebra and generalizations of Grothendieck’s conjecture on the arithmetic of linear differential equations
نویسنده
چکیده
We prove that a nonlinear version of the Grothendieck-Katz conjecture (essentially in the form given by Ekhedahl, Shepherd-Barron and Taylor) is equivalent to the original Grothendieck-Katz conjecture together with a certain differential algebraic geometric/model-theoretic statement: a type over C(t) with “p-curvature 0 for almost all p” is nonorthogonal to the constants.
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