Existence of Nongeometric Pro-p Galois Sections of Hyperbolic Curves
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چکیده
In the present paper, we construct a nongeometric pro-p Galois section of a proper hyperbolic curve over a number field, as well as over a p-adic local field. This yields a negative answer to the pro-p Section Conjecture. We also observe that there exists a proper hyperbolic curve over a number field which admits infinitely many conjugacy classes of pro-p Galois sections.
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تاریخ انتشار 2010