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On contraction of algebraic points
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We study contraction of points on $\mathbb{P}^1(\bar{\mathbb{Q}})$ with certain control on local ramification indices, with application to the unramified curve correspondence problem initiated by Bogomolov and Tschinkel.
Abstract
We study contraction of points on $\mathbb{P}^1(\bar{\mathbb{Q}})$ with certain control on local ramification indices, with application to the unramified curve correspondence problem initiated by Bogomolov and Tschinkel.
참고문헌 (7)
- G. V. Belyi, "Galois extensions of a maximal cyclotomic field", Izv. Akad. Nauk SSSR Ser. Mat, 43(2), pp.267~276 (1979)
- G. V. Belyi, "Another proof of three points theorem", Max Planck Institute Preprint, MPI, ~ (1997)
- F. Bogomolov, "Algebraic Number Theory and Algebraic Geometry", pp.17~25 (2002), Amer. Math. Soc.
- F. Bogomolov, "Geometric Methods in Algebra and Number Theory", pp.43~57 (2005), Birkhauser
- F. Bogomolov, "Curves in abelian varieties over finite fields", Int. Math. Res. Not, 2005(4), pp.233~238 (2005)
- E. Bombieri, "Heights in Diophantine Geometry" (2006), Cambridge University Press
- H. Stichtenoth, "Algebraic function fields and codes" (2009), Springer-Verlag
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