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Hyperelliptic curves express by branch points

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#algebraic-geometry #algebraic-curves #riemann-surfaces
124
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Homology of Fermat curve

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#algebraic-geometry #homology-cohomology #algebraic-curves #riemann-surfaces
1.2k
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A guide to Algebraic Geometry

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#algebraic-geometry #commutative-algebra #soft-question #book-recommendation #riemann-surfaces
321
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Branch points of a projection to $[X:Y] = \Bbb{CP}^1$ using homogeneous coordinates

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#algebraic-geometry #algebraic-curves #riemann-surfaces
217
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Number of branch points for a projection to $\Bbb{CP}^1$

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#algebraic-geometry #algebraic-curves #riemann-surfaces
382
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Riemann mapping theorem with pathological boundary

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#complex-analysis #riemann-surfaces
636
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Any two dimensional orientable manifold is complex

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#riemann-surfaces
149
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Globally Generated Vector Bundle on a Riemann surface

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#differential-geometry #algebraic-geometry #complex-geometry #vector-bundles #riemann-surfaces
64
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Smooth curves of odd genus

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#algebraic-geometry #algebraic-curves #riemann-surfaces
200
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Hurwitz' Construction of Riemann Surfaces, but $S_1S_2\cdots S_w\neq 1$

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#riemann-surfaces
1k
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Real world applications of Riemann surfaces of holomorphic functions

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#complex-analysis #analysis #riemann-surfaces #applications #analytic-continuation
504
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Symplectomorphisms of a Riemann surface

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#reference-request #riemann-surfaces #symplectic-geometry
925
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Weierstrass $\wp$-function defines a map from the torus to an elliptic curve. Why is it injective?

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#complex-analysis #elliptic-curves #riemann-surfaces #complex-manifolds
452
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Showing that an elliptic function has no poles

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#complex-analysis #riemannian-geometry #complex-geometry #riemann-surfaces #elliptic-functions
92
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Computation of $L(p+q+r)$ on a smooth projective curve

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#algebraic-geometry #riemann-surfaces #divisors-algebraic-geometry

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