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Composing with a biholomorphic function does not affect the order of pole

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#complex-analysis #riemann-surfaces
86
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open-source illustrations of Riemann surfaces

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#riemann-surfaces #visualization #computer-algebra-systems
372
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I want the pullback of a non-closed 1-form to be closed. Is that possible?

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#complex-analysis #differential-geometry #differential-forms #complex-geometry #riemann-surfaces
198
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Reference request for Riemann Roch Theorem

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#algebraic-geometry #complex-geometry #riemann-surfaces
116
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Biholomorphic Riemann Surfaces can have different differential structure?

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#complex-analysis #differential-geometry #analytic-geometry #complex-geometry #riemann-surfaces
152
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Monodromy representations and geodesics of singular flat metrics on $\mathbb{H}$

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#differential-geometry #algebraic-topology #riemannian-geometry #riemann-surfaces
602
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How to choose a branch when there are multiple branch points?

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#complex-analysis #riemann-surfaces #branch-cuts #multivalued-functions #branch-points
447
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Questions from Forster's proof regarding unbranched holomorphic proper covering map

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#general-topology #algebraic-geometry #complex-geometry #riemann-surfaces #covering-spaces
284
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Is the monodromy action of the universal covering of a Riemann surface faithful?

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#general-topology #algebraic-topology #riemann-surfaces #covering-spaces
1.1k
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Riemann sheets for combined roots

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#complex-analysis #riemannian-geometry #riemann-surfaces
141
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A connected manifold $N$ can be identified with its universal covering quotient a discrete group

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#riemann-surfaces #quotient-spaces
246
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Prove that $X$ is a Riemann surface using basic definitions

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#general-topology #manifolds #riemannian-geometry #riemann-surfaces #holomorphic-functions
113
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Equivalent markings on Riemann surfaces

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#complex-analysis #complex-geometry #riemann-surfaces #teichmueller-theory
458
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prove Mobius Transformation can be extended to a meromorphic function

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#complex-analysis #riemann-surfaces #mobius-transformation
178
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Prove a family of harmonic functions is locally bounded

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#complex-analysis #harmonic-functions #riemann-surfaces

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