Absolute Anabelian Cuspidalizations of Configuration Spaces of Proper Hyperbolic Curves over Finite Fields
نویسنده
چکیده
In the present paper, we study the cuspidalization problem for fundamental groups of configuration spaces of proper hyperbolic curves over finite fields. The goal of this paper is to show that any Frobenius-preserving isomorphism between the geometrically pro-l fundamental groups of hyperbolic curves induces an isomorphism between the geometrically pro-l fundamental groups of the associated configuration spaces. Communicated by S. Mochizuki. Received June 29, 2007. Revised March 5, 2008, November 14, 2008. 2000 Mathematics Subject Classification(s): 14H30. ∗Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan. c © 2009 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
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Absolute anabelian cuspidalizations of configuration spaces over finite fields
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تاریخ انتشار 2009