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15
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"symmetry" in the sense of Abel-Jacobi map of hyperelliptic curves

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#algebraic-geometry #algebraic-curves #riemann-surfaces
272
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Exercice in Miranda's Book , divisors on Algebraic Curves

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#riemann-surfaces #divisors-algebraic-geometry
292
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Every closed orientable surface is Riemann surface

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#manifolds #surfaces #riemann-surfaces #complex-manifolds
277
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Does the derivative of a rational function with numerator degree greater than 2 have a zero?

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#complex-analysis #derivatives #roots #riemann-surfaces #rational-functions
111
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Genus $3$ curves with a couple of distinct points $P,Q$ such that $4P \sim 4Q$

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#algebraic-geometry #algebraic-curves #riemann-surfaces #divisors-algebraic-geometry #function-fields
435
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How does Schwarz reflection principle work for a geodesic triangle inside the unit circle?

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#complex-analysis #riemann-surfaces #covering-spaces
241
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Algebraic Curve of genus one and Complex Torus

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#algebraic-curves #riemann-surfaces
574
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Curves of Genus one are cubic plane curves (proof doubt)

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#algebraic-geometry #algebraic-curves #riemann-surfaces
105
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Topological Manifold which does not admit Riemann surface structure?

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#complex-analysis #manifolds #smooth-manifolds #riemann-surfaces
234
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Compactification of log z Riemann Surface

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#complex-analysis #logarithms #compactness #riemann-surfaces #compact-manifolds
187
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Why is the degree of a morphism $\deg(f) \leq \deg(D)$ when $\operatorname{div}(f) + D \geq 0$?

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#algebraic-geometry #algebraic-curves #riemann-surfaces
106
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"Sequentially compactness" of compact Riemann surface

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#general-topology #riemann-surfaces
52
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Ramification point of a rational function with value 1

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#complex-analysis #riemann-surfaces
70
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Miranda or Fulton for algebraic perspective on Riemann surface

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#book-recommendation #riemann-surfaces
650
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Basis of meromorphic $1$-forms on compact Riemann surface.

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#linear-algebra #complex-analysis #riemann-surfaces #divisors-algebraic-geometry

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