منابع مشابه
The Monodromy Groups of Schwarzian Equations on Closed Riemann Surfaces
Let θ : π1(R) → PSL(2,C) be a homomorphism of the fundamental group of an oriented, closed surface R of genus exceeding one. We will establish the following theorem. Theorem. Necessary and sufficient for θ to be the monodromy representation associated with a complex projective stucture on R, either unbranched or with a single branch point of order 2, is that θ(π1(R)) be nonelementary. A branch ...
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متن کاملThe Monodromy Groups of Schwarzian Equations on Compact Riemann Surfaces
Let R be an oriented compact surface without boundary of genus exceeding one, and let θ : π1(R;O) → Γ ⊂ PSL(2,C) be a homomorphism of its fundamental group onto a nonelementary group Γ of Möbius transformations. We present a complete, self-contained proof of the following facts: (i) θ is induced by a complex projective structure for some complex structure on R if and only if θ lifts to a homomo...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2020
ISSN: 1435-5337,0933-7741
DOI: 10.1515/forum-2020-0025