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Normalisation of the cuspidal curve as a Riemann surface

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#algebraic-geometry #riemannian-geometry #riemann-surfaces
74
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Intuitive understanding of complex tori

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#soft-question #riemann-surfaces #complex-manifolds
1.4k
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If $f$ is holomorphic in a compact Riemann surface, it is constant. Why doesn't this work for compact subsets of $\mathbb{C}$?

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#complex-analysis #riemann-surfaces
1k
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Analytic continuation and two versions of Monodromy theorem

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#complex-analysis #riemann-surfaces
255
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Conformal metrics

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#differential-geometry #riemannian-geometry #riemann-surfaces
191
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The function field of a modular curve

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#galois-theory #riemann-surfaces
301
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Is there a function with prescribed zeros and poles on an elliptic curve?

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#riemann-surfaces #elliptic-functions #meromorphic-functions
52
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What is the genus of $y=x^n$?

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#riemann-surfaces
378
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Are concrete Riemann surfaces Riemann domains over $\mathbb C$?

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#complex-analysis #algebraic-geometry #riemann-surfaces
36
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$\Bbb C/(1+ib)\Bbb Z$ is an elliptic curve

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#elliptic-curves #riemann-surfaces
67
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Uniqueness of Algebraic Belyi Pairs from Dessin

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#algebraic-geometry #field-theory #galois-theory #riemann-surfaces #galois-representations
51
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Is this exact: $0\to\mathcal{O}^{hol}\to\mathcal{O}(p)\to \Bbb{C}_p,$

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#complex-geometry #riemann-surfaces #quasicoherent-sheaves
128
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Non-trivial Extensions of Sheaves of $\mathcal{O}$-Modules

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#algebraic-geometry #algebraic-curves #riemann-surfaces
696
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A basis for the holomorphic differentials of a hyper-elliptic Riemann surface

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#differential-forms #riemann-surfaces
697
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Degree of a canonical divisor on a compact Riemann surface

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#riemann-surfaces #differential #divisor-sum

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