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affine curve. analysis

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#complex-analysis #riemann-surfaces
322
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Orientation on Riemann surfaces

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#complex-analysis #differential-geometry #riemannian-geometry #riemann-surfaces
156
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Divisors and holomorphic map between a compact Riemann surface and a torus

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#riemann-surfaces #compact-manifolds #complex-manifolds
1.7k
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Metric Tensors and its Taylor Expansion in Normal Coordinates

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#differential-geometry #differential-topology #riemann-surfaces #surfaces
148
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Function fields for genus 2 curves

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#algebraic-curves #riemann-surfaces #function-fields
300
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Hyperbolic (and related) structures on open unit disk

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#riemannian-geometry #riemann-surfaces #hyperbolic-geometry #moduli-space #teichmueller-theory
184
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Is the image of the Riemann sphere a Riemann surface?

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#complex-analysis #riemann-surfaces
1k
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Base-point-free linear systems (elementary?) property

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#complex-analysis #algebraic-geometry #riemann-surfaces
410
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Real part of integral over holomorphic 1-form is zero implies the one-form is zero

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#integration #complex-analysis #riemann-surfaces #differential-forms
1.7k
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universal covering of punctured plane and Poincaré metric

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#complex-analysis #differential-geometry #riemann-surfaces
1.3k
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Simple Branched covering over sphere.

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#complex-analysis #algebraic-curves #riemann-surfaces
69
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Computing geodesic distances from structural data

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#general-topology #differential-geometry #differential-topology #riemannian-geometry #riemann-surfaces
221
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1-form on Riemann Surface

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#algebraic-geometry #riemann-surfaces
421
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Any non-zero homomorphism of holomorphic vector bundles over a compact Riemann surface factors through a maximal rank homomorphism

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#algebraic-geometry #riemann-surfaces #vector-bundles
68
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The number of holomorphic coverings (with given degree) of the punctured sphere is finite.

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#complex-analysis #riemann-surfaces #alternative-proof #covering-spaces

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