Rational maps to varieties of hyperbolic type
نویسندگان
چکیده
منابع مشابه
Thurston Type Theorem for Sub-hyperbolic Rational Maps
In 1980’s, Thurston established a combinatorial characterization for post-critically finite rational maps. This criterion was then extended by Cui, Jiang, and Sullivan to sub-hyperbolic rational maps. The goal of this paper is to present a new but simpler proof of this result by adapting the argument in the proof of Thurston’s Theorem.
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In 1980’s, Thurston established a combinatorial characterization for post-critically finite rational maps among post-critically finite branched coverings of the two sphere to itself. A completed proof was written by Douady and Hubbard in their paper [A. Douady, J.H. Hubbard, A proof of Thurston’s topological characterization of rational functions, Acta Math. 171 (1993) 263–297]. This criterion ...
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0.1 Notations. We deal in this paper with complex projective K3 surfaces, i.e. smooth K-trivial complex projective surfaces without irregularity. Let φ : S 99K S be a dominant self rational map. Suppose Pic(S) = Z. Then there exists a positive integer l such that φOS(1) ∼= OS(l). It is the algebraic degree of φ, that is the degree of the polynomials defining φ. There always exists an eliminatio...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1979
ISSN: 0386-2194
DOI: 10.3792/pjaa.55.95